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use the figure to find the specified angle measure. in the figure, p ||…

Question

use the figure to find the specified angle measure. in the figure, p || q. suppose m∠3 = 105°. find m∠6. m∠6 = 105° because they are select alternate interior angles corresponding angles vertical angles same - side interior angles question 6

Explanation:

Step1: Identify angle - pair relationship

$\angle3$ and $\angle6$ are alternate - interior angles when $p\parallel q$ and $t$ is a transversal.

Step2: Apply property of alternate - interior angles

Alternate - interior angles are congruent when two parallel lines are cut by a transversal. So, if $m\angle3 = 105^{\circ}$, then $m\angle6=m\angle3$.

Answer:

$m\angle6 = 105^{\circ}$, A. Alternate Interior Angles