Question

find x.
29° 43° 35° x°

Explanation:

Step1: Use the property of vertical angles

Vertical angles are equal. So the angle equal to \(29^{\circ}\) is an interior angle of the triangle - like part.

Step2: Apply 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.
Here, \(x = 29^{\circ}+43^{\circ}+35^{\circ}\)

$$x=(29 + 43+35)^{\circ}$$

$$x = 107^{\circ}$$

Answer:

\(x = 107\)