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 angles of an equilateral triangle? (2023)
A.
All angles are 60 degrees
B.
All angles are 90 degrees
C.
Two angles are equal
D.
No angles are equal
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Solution
In an equilateral triangle, all three angles are equal and measure 60 degrees each.
Correct Answer: A — All angles are 60 degrees
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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 hexagon? (2022)
A.
720 degrees
B.
540 degrees
C.
360 degrees
D.
180 degrees
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Solution
Sum of interior angles = (n-2) * 180° = (6-2) * 180° = 720 degrees
Correct Answer: A — 720 degrees
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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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