Question

for the figure shown, find m∠1 and m∠2. (the figure is not drawn to scale.) m∠1=□° question 9 of 15

Explanation:

Step1: Use exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. For the triangle with $\angle1$, the exterior angle is $95^{\circ}$, and the two non - adjacent interior angles are $29^{\circ}$ and $\angle1$. So, $95^{\circ}=29^{\circ}+\angle1$.

Step2: Solve for $\angle1$

Subtract $29^{\circ}$ from both sides of the equation: $\angle1 = 95^{\circ}-29^{\circ}$.

Answer:

$66$