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

Question

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

Explanation:

Step1: Recall triangle - angle - sum property

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

Step2: Set up the equation

Let the three angles of the triangle be 117°, 58°, and ∠1. So, 117°+58° + m∠1=180°.

Step3: Solve for m∠1

m∠1=180°-(117° + 58°)=180° - 175° = 5°.

Answer:

5