Question

One angle of an isosceles triangle measures 52º. Which other angles could be in that isosceles triangle. Choose all

that apply.
520
64°
65°
76°

Answer 1

76° and 64°

Explanation:

Either two of the angles are 52 degrees, or one of the angle is 52 degrees.

We know that the sum of angles in a triangle total up to 180

One angle is x, two angles are 52 180 - (52*2) = 180 - 104 = 76 = x

One angle is 52, two angles are y (180 - 52)/2 = (128)/2 = 64 = y

Hope this helps :)

Answer 2

64

Explanation:

as isosceles triangle have base two angles equal let it be X

since two angles X+X =2x

now,

52+2x=180(sum of interior angle of triangle is 180)

or,2x=180-52

or,X=128/2

or,X=64