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If one angle of a triangle is 90 degrees and the other two angles are equal, wha
Practice Questions
Q1
If one angle of a triangle is 90 degrees and the other two angles are equal, what are the measures of the other two angles?
30 degrees
45 degrees
60 degrees
75 degrees
Questions & Step-by-Step Solutions
If one angle of a triangle is 90 degrees and the other two angles are equal, what are the measures of the other two angles?
Steps
Concepts
Step 1: Understand that a triangle has three angles.
Step 2: Know that the total sum of the angles in a triangle is always 180 degrees.
Step 3: Identify that one angle is given as 90 degrees.
Step 4: Subtract the 90 degrees from the total 180 degrees to find the sum of the other two angles: 180 - 90 = 90 degrees.
Step 5: Since the other two angles are equal, divide the remaining 90 degrees by 2: 90 / 2 = 45 degrees.
Step 6: Conclude that each of the other two angles measures 45 degrees.
Triangle Angle Sum Theorem
– The sum of the interior angles of a triangle is always 180 degrees.
Properties of Isosceles Triangles
– In an isosceles triangle, the angles opposite the equal sides are equal.
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