Question

One angle of an isosceles triangle measures 112°. What measures are possible for the other two angles? Choose all that apply.34°10°69°82°Submit

Answer 1

Given:

Measure of one angle of an isosceles triangle = 112°

Let's find the measure of the other two angles.

An isosceles triangle has equal base angles.

Since we already have one angle which is greater than 90 degrees, this means we are to find the two base angles.

Now, apply the Triangle Angle Sum theorem to find the two other angles.

112° + base angle 1 + base angle 2 = 180°

base angle 1 + base angle 2 = 180 - 112

base angle 1 + base angle 2 = 68°

Since the two base angles are equal, the measure of one base angle will be:

`(68)/(2)=34°`

Therefore, the possible measure of each other two angles is 34°.

ANSWER:

34°