Question

1. find the value of x. (g6d)

5._
2x
20°
30°
65
25
10
50

Explanation:

Step1: Use the exterior - angle property of a triangle

The exterior - angle property of a triangle states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.
Here, \(2x\) is an exterior angle of the triangle. So, \(2x=20^{\circ}+30^{\circ}\)

Step2: Solve for \(x\)

First, simplify the right - hand side of the equation: \(20^{\circ}+30^{\circ} = 50^{\circ}\). Then, we have the equation \(2x = 50^{\circ}\). Divide both sides of the equation by \(2\): \(x=\frac{50^{\circ}}{2}\)

Answer:

\(x = 25^{\circ}\)