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11. use patterns and structure a zipper bisects the angle formed by the…

Question

  1. use patterns and structure a zipper bisects the angle formed by the sides of the front of a tent that is in the shape of an equilateral triangle, forming two triangles. what are the angle measures of the resulting triangles?

Explanation:

Step1: Recall properties of equilateral triangle

In an equilateral triangle, each angle is \(60^{\circ}\).

Step2: Analyze the effect of bisecting

When a zipper bisects an equilateral triangle into two triangles. The original angle of \(60^{\circ}\) is split. The other two angles of the original equilateral triangle remain the same in the resulting triangles.

Let's consider one of the resulting triangles. One angle is \(30^{\circ}\) (half of \(60^{\circ}\)), and the other two angles are \(60^{\circ}\) each.

Answer:

The angles of the resulting triangles are \(30^{\circ},60^{\circ},90^{\circ}\)