Question

a side of the triangle below has been extended to form an exterior angle of 64°. find the value of x. 16° 64° x° answer attempt 1 out of 3 x = submit answer copyright ©2025 deltamath.com all rights reserved. terms & policies deltamath.com

Explanation:

Step1: 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.
So, \(64^{\circ}=16^{\circ}+x^{\circ}\)

Step2: Solve for \(x\)

Subtract \(16^{\circ}\) from both sides of the equation:
\(x = 64 - 16\)

Answer:

\(x = 48\)