Question

in this exercise, lines m and n are parallel. find the measure of each numbered angle. the figure is not to scale. m∠4 = 45° m∠5 = 55° m∠6 = 125° m∠7 = 55° m∠8 = □°

Explanation:

Step1: Identify angle relationship

∠7 and ∠8 are supplementary (form a linear pair), so \( m\angle7 + m\angle8 = 180^\circ \).

Step2: Substitute known value

We know \( m\angle7 = 55^\circ \), so \( 55^\circ + m\angle8 = 180^\circ \).

Step3: Solve for \( m\angle8 \)

\( m\angle8 = 180^\circ - 55^\circ = 125^\circ \).

Answer:

\( 125 \)