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