Question

5 what is the value of \\( \angle x \\)? a 53 b 60 c 67 d 113

Explanation:

Step1: Find the non - marked interior angle

Use the property of vertical angles. The non - marked interior angle is equal to \(53^{\circ}\) (vertical angles are equal).

Step2: Use the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. Let the exterior angle be \(x\). Then \(x=53^{\circ}+60^{\circ}\).

$$x = 53+60=113^{\circ}$$

Answer:

D. \(113\)