Question

6. Find the supplements of the following

c) x + 45°
angles:
b) 108°
d) į right angle
a) 65°

Answer 1

c) 135°

b) 72°

d) 90°

a) 115°

Explanation:

A supplementary pair are two angles whose measures added is equal to 180°. Set an equation with the given values plus a number (the other angle) equal to 180:

c)
`x+45=180`

Solve. Subtract 45 from both sides:

`x+45-45=180-45\\\\x=135`

The supplement is 135°

b)
`108+x=180`

Solve. Subtract 108 from both sides:

`108-108+x=180-108\\\\x=72`

The supplement is 72°

d)
`x+90=180`

Solve. Subtract 90 from both sides:

`x+90-90=180-90\\\\x=90`

The supplement is 90°

a)
`x+65=180`

Solve. Subtract 65 from both sides:

`x+65-65=180-65\\\\x=115`

The supplement is 115°

:Done