Question

What type of triangle, if any, can be formed with angle measures of 32, 126, and 32°?

A. no triangle

B. either an acute isosceles triangle or an obtuse isosceles triangle

C. only an obtuse isosceles triangle

D. only an acute isosceles triangle

Answer 1

C. only an obtuse isosceles triangle

Explanation:

the triangle has two congruent(equal) angles that are both 32°, and a triangle with two congruent angles is an isosceles triangle.

the third angle, 126°, in the triangle is an obtuse angle because it is larger than 90°, and a triangle with one obtuse angle is an obtuse triangle

thus, the triangle with angle measures of 32, 126, and 32° is both an isosceles and obtuse triangle.