Question

Triangle ABC is isosceles.

What is true about the measure of angle B?

It is twice the measure of angle A.
It is twice the measure of angle C.
It is equal to the measure of angle A.
It is equal to the measure of angle C.

Answer 1

Answer: The correct option is (D) It is equal to the measure of angle C.

Step-by-step explanation: Given that ΔABC is an isosceles triangle as shown in the figure. AB = AC.

We are to select the TRUE statement about the measure of ∠B.

We know that the measures of the angles opposite to the equal sides of a triangle are equal.

So, AB = AC implies that

m∠C = ∠B.

Therefore, the measure of angle B is equal to the measure of angle C.

Thus, (D) is the correct option.

Answer 2

we know that

An isosceles triangle is a triangle with two equal sides and two equal angles

so

in this problem we have

AC=AB

∠B=∠C

therefore

the answer is

It is equal to the measure of angle C