Question

X

( = [?]
DK
x Х
А AK
140°
B
HC
Angles are not drawn to scale

Answer 1

40 degrees

Explanation:

Supplementary angles are a pair of angles that add up to 180 degrees

Since ABD and DBC are supplementary, you can make the equation:

180=140+x

Simplify and you get x=40

Answer 2

• When the sum of the measures of two angles is 180°, such angles are called supplementary angles.

`\bf \large \implies \: \: x \: + \: 140 \degree \: = \: 180 \degree`

`\bf \large \implies \: \: x \: = \: 180 \degree - \: 140 \degree`

`\bf \large \implies \: \: x \: = \: 40 \degree`