Question

1. from the figure shown, abby concludes that (mangle1 = 85^{circ}). what is abbys error? how would you correct the error?

Explanation:

Step1: Recall exterior - angle property

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non - adjacent interior angles. In the given triangle, $\angle1$ is an exterior angle and the two non - adjacent interior angles are $62^{\circ}$ and $33^{\circ}$.

Step2: Calculate the correct measure of $\angle1$

$m\angle1=62^{\circ}+33^{\circ}=95^{\circ}$.

Step3: Identify Abby's error

Abby likely made an incorrect addition or some other arithmetic error. She probably did not correctly apply the exterior - angle property of a triangle.

Answer:

Abby's error is likely an incorrect calculation. The correct measure of $m\angle1$ is $95^{\circ}$ (since $m\angle1 = 62^{\circ}+33^{\circ}$).