Question

use the figure to complete the statements.
m∠b = select choice 0
m∠c = select choice 0

Explanation:

Step1: Identify triangle type

The triangle has two equal sides (marked with ticks), so it's isosceles. Thus, \( \angle A = \angle C \). Given \( m\angle A = 72^\circ \), so \( m\angle C = 72^\circ \).

Step2: Sum of angles in triangle

The sum of angles in a triangle is \( 180^\circ \). Let \( m\angle B = x \). Then \( x + 72^\circ + 72^\circ = 180^\circ \).

Step3: Solve for \( m\angle B \)

Simplify: \( x + 144^\circ = 180^\circ \). Subtract \( 144^\circ \) from both sides: \( x = 180^\circ - 144^\circ = 36^\circ \).

Answer:

\( m\angle B = 36^\circ \)
\( m\angle C = 72^\circ \)