Question

What is the measure of <B, in degrees. ​

Answer 1

Answer:

32

Step-by-step explanation:

The base angles of the triangle are the same since the sides are the same

<C = 74

A+B+C = 180 since the sum of the angles of a triangle = 180

74+B+74=180

Combine like terms

148+B =180

B = 180-148

B = 32

Answer 2

Answer:

$\text{A. }32^{\circ}$

Step-by-step explanation:

From the Isosceles Base Theorem, the two base angles of a isosceles triangle are equal. Therefore, $\angle A=\angle C=74^{\circ}$.

Since the sum of the interior angles of a triangle is always equal to 180 degrees, we can write the following equation:

$\angle A+\angle B+\angle C=180$

Substitute $\angle A=\angle C=74^{\circ}$ into this equation to solve for $\angle B$:

$74+\angle B+74=180,\\\angle B=180-74-74=\boxed{32^{\circ}}$