In the figure, a and b are rays. State the angle measures of angles 1 and 2.
<1=?°
<2?=°
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Answer:
∠1 = 156°
∠2 = 24°
Step-by-step explanation:
You want the measures of angles 1 and 2 in the triangle figure shown.
Angle 1 is an exterior angle to the triangle. As such, its measure is the sum of the measures of the remote interior angles:
∠1 = 72° +84°
∠1 = 156°
Angles 1 and 2 form a linear pair. This means they are supplementary:
∠2 = 180° -∠1 = 180° -156°
∠2 = 24°