A side of the triangle below has been extended to form an exterior angle of 157°. Find the value of x

x=67

Step-by-step explanation:

180-157 = 23

180-90-23 = 67

x = 67

Recall ...

Angles on a straight Line Total to 180°

So

The angle at the Tip of the triangle = 180-157

=23°.

Now 23 is a part of the triangle...

Recall also..

Total angles in a triangle also Total to 180°.

Now that's a Right angled Triangle...

There's the 90° Angle present

So Total angle =

90° + x° + 23° =180

x=180° – (23+90)

x=67°.