Question

A side of the triangle below has extended to form an exterior angle of 114 degrees. find the value of x

Answer 1

The measure of x is 24

Here, we are to find the value of the angle marked x

To get this, we shall use an important triangle property

The property is that the addition of two opposite interior angles equal the exterior angle from the third side

Applying this theory, we have that;

`\begin{gathered} x\text{ + 90 = 114} \\ x\text{ = 114-90} \\ x\text{ = 24} \end{gathered}`