Question

a side of the triangle below has been extended to form an exterior angle of 121°. find the of x.

Explanation:

Answer:

To solve for \( x \), we use the property that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. The triangle is a right - triangle, so one of the non - adjacent interior angles is \( 90^{\circ} \), and the other is \( x^{\circ} \), and the exterior angle is \( 121^{\circ} \).

We know that \( x + 90=121 \).

Subtract 90 from both sides of the equation: \( x=121 - 90=31 \).

So the value of \( x \) is \( 31 \).