Question

Work out the size of angle x

Answer 1

x = 117°

Explanation:

First, find the angle the supplements angle 101°.

Using the supplementary angle (angles that add up to 180°).

180° - 101° = 79°

We now have two interior angles inside the triangle, 38° and 79°.

A triangle's total angle measures 180° in total.

So,

? + 38° + 79° = 180°

? + 117° = 180

? = 180° - 117°

? = 63°

Now like the first step we did, use the supplementary angle theorem to find x.

x + 63° = 180°

x = 180° - 63°

x = 117°

Answer 2

x = 117 degrees

Explanation:

A triangle has 180 degrees in total.

A straight line is also 180 degrees in total.

180 - 101 = 79

Angles inside the triangle

79 + 38 = 117

180 - 117 = 63

63 degrees is the missing angle

x = 180 - 63

x = 117