One angle of an isosceles triangle is 28°. What are the other 2 angles? (choose all that apply.)
76° and 76°
116° and 116°
28° and 152°
28° and 124°

Solution:

We know that

In an isosceles triangle, the sum of two angles and two sides are equal.

By using angle sum property, total sum of all the angles is 180 degrees.

It is given that

One angle = 28°

Consider x as the other two angles

We can write it as

x + x + 28 = 180

2x + 28 = 180

2x = 180 - 28

2x = 152

Dividing both sides by 2, we get

x = 76°

Therefore, the other two angles are 76° and 76°.

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One angle of an isosceles triangle is 28°. What are the other 2 angles? (choose all that apply.)

Summary:

One angle of an isosceles triangle is 28°. The other two angles are 76° and 76°. Hence, first option is correct.