Question

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

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 $98^{\circ}$ and the two non - adjacent interior angles are $26^{\circ}$ and $\angle1$. So, $98^{\circ}=26^{\circ}+\angle1$.

Step2: Solve for $\angle1$

Subtract $26^{\circ}$ from both sides of the equation: $\angle1 = 98^{\circ}-26^{\circ}$.

Answer:

$72^{\circ}$