Question

An angle measures 49∘. Find a.its supplement and b.its complement.

Answer 1

Supplementary angle: 131

Complementary angle: 41

Step-by-step explanation:

An angle is supplementary to 49° if it sums with it to give 180°. IN other words

`49\degree+\text{angle}=180\degree`

A sketch of this angle is given below

The supplementary angle is given in red.

To find the measure of this angle, we subtract 49 from both sides of the above equation and get

`\text{angle}=180\degree-49\degree`
`\boxed{\text{angle}=131\degree}`

which is our answer.

An angle is complementary to 49°, if it sums with it to give 90°:

`49\degree+\text{angle}=90\degree`

The two angles are sketched below.

To find this angle, we subtract 49° from both sides of the above equation and get

`\text{angle}=90\degree-49\degree`
`\boxed{\text{angle}=41\degree\text{.}}`

Which is our answer!

Hence, to summerise:

Supplementary angle: 131

Complementary angle: 41