Question

clom ltry hon - garcia (lms) 2 - 4: technology_mixed review_p7 (lms graded) part 1 of 2 for the figure shown, find m∠1 and m∠2 (the figure is not drawn to scale) m∠1 = □°

Explanation:

Step1: Use the angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. In the triangle with angles 34°, 97° and ∠1, we have the equation $34^{\circ}+97^{\circ}+\angle1 = 180^{\circ}$.

Step2: Solve for ∠1

$\angle1=180^{\circ}-(34^{\circ} + 97^{\circ})=180^{\circ}-131^{\circ}=49^{\circ}$

Step3: Use the linear - pair property

∠2 and the 97° angle form a linear pair. A linear - pair of angles sums to 180°. So, $\angle2 = 180^{\circ}-97^{\circ}=83^{\circ}$

Answer:

$m\angle1 = 49^{\circ}$, $m\angle2 = 83^{\circ}$