An isosceles triangle has an angle that measures 106.8°. What measures are possible for the other two angles? Choose all that apply.
Question
An isosceles triangle has an angle that measures 106.8°. What measures are possible for the other two angles? Choose all that apply.
Solution
An isosceles triangle has two equal angles. The sum of all angles in a triangle is 180°.
Step 1: Subtract the given angle from 180°. 180° - 106.8° = 73.2°
Step 2: Divide the remaining angle by 2 to find the measure of the other two equal angles. 73.2° ÷ 2 = 36.6°
So, the other two angles in the isosceles triangle could each measure 36.6°.
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