Question

for the figure shown, find m∠1 and m∠2. m∠1=□°. (the figure is not drawn to scale.) help me solve this view an example get more help - clear all check answer

Explanation:

Step1: Use the exterior - angle property of a triangle

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. For the triangle with the given angles, if we consider the exterior angle property, the exterior angle of the triangle with interior angles \(31^{\circ}\) and \(\angle1\) is \(97^{\circ}\). So, \(97^{\circ}=31^{\circ}+\angle1\).

Step2: Solve for \(\angle1\)

We can rewrite the equation \(97 = 31+\angle1\) as \(\angle1=97 - 31\).

Answer:

\(66\)