Question

A side of the triangle below has been extended to form an exterior angle of 128°. Findthe value of x.

Answer 1

We know that the sum of the internal angles of a triangle is 180°.

And a right angle measures 180°. Therefore, from the exterior angle we find the other angle:

$180-128=52$

so, for x:

$\begin{gathered} 24+52+x=180 \\ 76+x=180 \\ 76+x-76=180-76 \\ x=104 \end{gathered}$

answer: x = 104°