Question

parallel lines and tran find the measure of each numbere 10.

56°
11.

special right triangles

Explanation:

Step1: Find \( m\angle1 \)

\( \angle1 \) and the \( 56^\circ \) angle are supplementary (linear pair), so \( m\angle1 = 180^\circ - 56^\circ = 124^\circ \).

Step2: Find \( m\angle2 \)

\( \angle2 \) and the \( 56^\circ \) angle are vertical angles, so \( m\angle2 = 56^\circ \).

Step3: Find \( m\angle3 \)

\( \angle3 \) and \( \angle1 \) are vertical angles, so \( m\angle3 = 124^\circ \).

Step4: Find \( m\angle4 \)

\( \angle4 \) and the \( 56^\circ \) angle are corresponding (or vertical with \( \angle2 \)), so \( m\angle4 = 56^\circ \).

Answer:

\( m\angle1 = 124^\circ \), \( m\angle2 = 56^\circ \), \( m\angle3 = 124^\circ \), \( m\angle4 = 56^\circ \)