A side of the triangle below has been extended to form an exterior angle of 64°. Find the value of

x
x.

1 answer

Since the exterior angle equals the sum of the two opposite interior angles, we can subtract 64° from 180° to find that the opposite interior angle measures 116°.

Since x and the angle opposite it (116°) are both part of a straight line, they add up to 180°.

Therefore,

x + 116° = 180°

Subtracting 116° from both sides:

x = 64°

So the value of x is 64°.