Question

find each measure.

m∠b =
ab =

Explanation:

Step1: Identify the triangle type

The triangle has two equal sides (marked with \( x \) and 12), so it's isosceles with \( \angle A = \angle C = 44^\circ \).

Step2: Calculate \( m\angle B \)

Sum of angles in a triangle is \( 180^\circ \). So \( m\angle B = 180 - 44 - 44 \).
\( m\angle B = 180 - 88 = 92^\circ \).

Step3: Determine \( AB \) length

In an isosceles triangle, equal angles are opposite equal sides. \( \angle A \) and \( \angle C \) are equal, so sides opposite them ( \( BC \) and \( AB \)) are equal. Since \( BC = 12 \), \( AB = 12 \).

Answer:

\( m\angle B = 92^\circ \)
\( AB = 12 \)