Question

the folding chair has different settings that change the angles formed by its parts. suppose $m\angle2$ is 34 and $m\angle3$ is 76. find $m\angle1$. the diagram is not to scale. 100 120 110 130

Explanation:

Step1: Recall exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. Here, $\angle1$ is an exterior angle of the triangle formed by the lines, and $\angle2$ and $\angle3$ are the non - adjacent interior angles.

Step2: Calculate $\angle1$

$m\angle1=m\angle2 + m\angle3$. Given $m\angle2 = 34$ and $m\angle3=76$, then $m\angle1=34 + 76$.
$m\angle1 = 110$

Answer:

C. 110