Question

a side of the triangle below has been extended to form an exterior angle of 67°. find the value of x.
answer
x =

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, \(x + 50=67\)

Step2: Solve for \(x\)

Subtract 50 from both sides of the equation: \(x=67 - 50\)

Answer:

\(x = 17\)