Question

for the figure shown, find m∠1
m∠1 =
(the figure is not drawn to scale)

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°.

Step2: Set up an equation

Let \(m\angle1=x\). We know the other two angles are 57° and 59°. So, \(x + 57+59=180\).

Step3: Solve for \(x\)

First, add 57 and 59: \(57 + 59=116\). Then, \(x=180 - 116\). So, \(x = 64\).

Answer:

64