Q. What is the measure of each angle in a pair of complementary angles if one angle is 30 degrees?
A.
60 degrees
B.
90 degrees
C.
30 degrees
D.
150 degrees
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Solution
Complementary angles sum up to 90 degrees. If one angle is 30 degrees, the other angle is 90 - 30 = 60 degrees.
Correct Answer: A — 60 degrees
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Q. What is the measure of each angle in a regular hexagon? (2019)
A.
120 degrees
B.
90 degrees
C.
60 degrees
D.
150 degrees
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Solution
The measure of each interior angle in a regular hexagon can be calculated using the formula (n-2) * 180/n, where n is the number of sides. For a hexagon, n=6, so the measure is (6-2) * 180/6 = 120 degrees.
Correct Answer: A — 120 degrees
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Q. What is the measure of each angle in a regular quadrilateral? (2019)
A.
90 degrees
B.
60 degrees
C.
120 degrees
D.
180 degrees
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Solution
A regular quadrilateral is a square, and each angle in a square measures 90 degrees.
Correct Answer: A — 90 degrees
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Q. What is the measure of each angle in a triangle if one angle is 40 degrees and the other is 60 degrees? (2019)
A.
80 degrees
B.
100 degrees
C.
120 degrees
D.
140 degrees
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Solution
The sum of angles in a triangle is always 180 degrees. If one angle is 40 degrees and another is 60 degrees, the third angle is 180 - (40 + 60) = 80 degrees.
Correct Answer: A — 80 degrees
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Q. What is the measure of each angle in a triangle if one angle is 50 degrees and the other is 60 degrees? (2019)
A.
70 degrees
B.
80 degrees
C.
90 degrees
D.
100 degrees
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Solution
The sum of angles in a triangle is 180 degrees. Therefore, the third angle = 180 - (50 + 60) = 70 degrees.
Correct Answer: A — 70 degrees
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Q. What is the measure of the exterior angle of a triangle if the interior angles are 50 degrees and 60 degrees? (2021)
A.
70 degrees
B.
80 degrees
C.
90 degrees
D.
100 degrees
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Solution
The exterior angle of a triangle is equal to the sum of the two opposite interior angles. Therefore, the exterior angle = 50 + 60 = 110 degrees.
Correct Answer: B — 80 degrees
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Q. What is the measure of the exterior angle of a triangle if the two interior opposite angles are 50 degrees and 60 degrees? (2023)
A.
110 degrees
B.
100 degrees
C.
120 degrees
D.
130 degrees
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Solution
The exterior angle of a triangle is equal to the sum of the two opposite interior angles. Therefore, the exterior angle = 50 + 60 = 110 degrees.
Correct Answer: A — 110 degrees
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Q. What is the relationship between the angles formed when two lines intersect? (2022)
A.
They are all equal
B.
They are supplementary
C.
They are complementary
D.
They are congruent
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Solution
When two lines intersect, the angles formed are supplementary, meaning they add up to 180 degrees.
Correct Answer: B — They are supplementary
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Q. What is the relationship between the corresponding angles when two parallel lines are cut by a transversal? (2022)
A.
They are equal
B.
They are supplementary
C.
They are complementary
D.
They are unequal
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Solution
When two parallel lines are cut by a transversal, the corresponding angles are equal.
Correct Answer: A — They are equal
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Q. What is the relationship between the sum of the interior angles and the exterior angles of a polygon?
A.
Interior angles sum to 180 degrees
B.
Exterior angles sum to 360 degrees
C.
Both sum to 360 degrees
D.
Interior angles sum to 360 degrees
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Solution
The sum of the exterior angles of any polygon is always 360 degrees, regardless of the number of sides.
Correct Answer: B — Exterior angles sum to 360 degrees
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Q. What is the relationship between the sum of the interior angles of a triangle and the angles formed by a transversal cutting through two parallel lines? (2022)
A.
They are equal
B.
They are supplementary
C.
They are complementary
D.
They are unrelated
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Solution
The sum of the interior angles of a triangle is 180 degrees, and the angles formed by a transversal cutting through two parallel lines are supplementary, meaning they add up to 180 degrees.
Correct Answer: B — They are supplementary
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Q. What is the sum of the interior angles of a triangle formed by three intersecting lines?
A.
180 degrees
B.
360 degrees
C.
90 degrees
D.
270 degrees
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Solution
The sum of the interior angles of any triangle is always 180 degrees.
Correct Answer: A — 180 degrees
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