Question

9/11/25, 4:22 pm

1. review test 3 parallel and perpendicular lines | wayground

is the statement true or false?
∠5≅∠7
false
14.
is the statement true or false?
m∠7 + m∠6 = 180°
true

Explanation:

Step1: Recall angle - pair relationships

When two lines are intersected by a transversal, vertical angles are congruent and linear - pair angles are supplementary.

Step2: Analyze $\angle5$ and $\angle7$

$\angle5$ and $\angle7$ are neither vertical angles nor corresponding, alternate - interior, or alternate - exterior angles. In general, without further information about the parallelism of the lines $p$ and $q$, we cannot assume $\angle5\cong\angle7$. So the statement $\angle5\cong\angle7$ is False.

Step3: Analyze $\angle7$ and $\angle6$

$\angle7$ and $\angle6$ form a linear pair. By the definition of a linear pair of angles, the sum of the measures of two angles in a linear pair is $180^{\circ}$. So $m\angle7 + m\angle6=180^{\circ}$ is True.

Answer:

1. False
2. True