Question

question 10 (2 points) use the diagram to find the angle measures. m∠1 = 94 ° m∠2 = ° m∠3 = ° blank 1: 94 blank 2: blank 3:

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. $\angle1$ and the angle adjacent to the $86^{\circ}$ angle are vertical angles. Since the angle adjacent to the $86^{\circ}$ angle is $180 - 86=94^{\circ}$, so $m\angle1 = 94^{\circ}$.

Step2: Use corresponding - angle property

$\angle1$ and $\angle2$ are corresponding angles. Corresponding angles formed by parallel lines and a transversal are equal. So $m\angle2=m\angle1 = 94^{\circ}$.

Step3: Use supplementary - angle property

$\angle2$ and $\angle3$ are supplementary angles (linear - pair). Since $m\angle2 = 94^{\circ}$, then $m\angle3=180 - 94 = 86^{\circ}$.

Answer:

$m\angle2 = 94$
$m\angle3 = 86$