Question

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

Explanation:

Step1: Identify angle relationship

∠7 and the 125° angle are supplementary (they form a linear pair), so their sum is 180°.

Step2: Calculate m∠7

Using the supplementary angle formula: \( m\angle7 = 180^\circ - 125^\circ \)
\( m\angle7 = 55^\circ \)

Answer:

55