Question

An isosceles triangle has an angle that measures 92°. Which other angles could be in that isosceles triangle? → Choose all that apply. ←

72, 92, 44 14

Answer 1

44°

Explanation:

A triangle can have at most one obtuse angle (> 90°). That means the given 92° angle must be the a.pex angle in the isosceles triangle. The total of angles in the triangle is 180°, so the base angles, x, must be ...

x + x + 92° = 180°

2x = 88° . . . . . . . . . simplify, subtract 92°

x = 44° . . . . . . . . divide by 2

The two base angles must both have measures of 44°.