Question

guided practice
midsegments of triangles
type your answer and then click or tap done.
what is ( m angle e x y ) ?

Explanation:

Step1: Use the triangle angle - sum property

In a triangle, the sum of interior angles is \(180^{\circ}\).

Step2: Calculate \(m\angle EXY\)

We know one angle is \(45^{\circ}\) and another is \(75^{\circ}\). Let \(m\angle EXY = x\). Then \(x+45^{\circ}+75^{\circ}=180^{\circ}\).

$$x = 180^{\circ}-(45^{\circ}+75^{\circ})$$

$$x = 180^{\circ}-120^{\circ}$$

$$x = 60^{\circ}$$

Answer:

\(60^{\circ}\)