Question

1. four triangles are shown. one side of each triangle lies on a ray, and the triangles are not drawn to scale. based on these triangles, which statement is true? a = 118, because 180 - (53 + 65)=62 and 180 - 62 = 118 a = 62, because 53 + 65 = 118 and 180 - 118 = 62 a = 168, because 180 - 65 = 115 and 115 + 53 = 168 a = 298, because 53 + 65 = 118 and 118+180 = 298

Explanation:

Step1: Recall angle - sum property of a triangle

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

Step2: Analyze the triangle with angles 53° and 65°

Let the third - angle be \(a\). Then \(a=180-(53 + 65)\).
\[a=180 - 118=62\]

Answer:

a = 62, because 53+65 = 118 and 180 - 118 = 62