Question

1. find the value of x. 76° 121° 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.
Let the exterior angle be \(121^{\circ}\), and the two non - adjacent interior angles be \(76^{\circ}\) and \(x^{\circ}\). So, we have the equation \(121 = 76+x\).

Step2: Solve for \(x\)

Subtract \(76\) from both sides of the equation \(121 = 76+x\).
\(x=121 - 76\)
\(x = 45\)

Answer:

\(45\)