Question

a side of the triangle below has been extended to form an exterior angle of 70°. find the value of x. triangle image with 50° angle and 70° exterior angle, x° angle

Explanation:

Step1: Use exterior angle theorem

The exterior angle of a triangle equals the sum of the two non-adjacent interior angles. So $70^\circ = 50^\circ + x^\circ$.

Step2: Solve for $x$

Rearrange to isolate $x$: $x^\circ = 70^\circ - 50^\circ$

Answer:

$x = 20$