Question

1. the diagram shows three lines with some marked angle measures. 27° 35° 27° 35° 90° 145° 153° 180°

Explanation:

Step1: Recall vertical - angle property

Vertical angles are equal. The angle opposite to the $35^{\circ}$ angle is $35^{\circ}$, and the angle opposite to the $27^{\circ}$ angle is $27^{\circ}$.

Step2: Recall supplementary - angle property

Adjacent angles that form a straight - line are supplementary (sum to $180^{\circ}$). The angle adjacent to the $35^{\circ}$ angle (on the straight - line) is $180 - 35=145^{\circ}$, and the angle adjacent to the $27^{\circ}$ angle (on the straight - line) is $180 - 27 = 153^{\circ}$. Also, since the yellow - boxed angles indicate right - angles, they are $90^{\circ}$.

Answer:

$27^{\circ},35^{\circ},90^{\circ},145^{\circ},153^{\circ},180^{\circ}$