Question

Find the measure of each numbered angle

Answer 1

`\angle 1 =123^(\circ)`

Explanation:

Given :
`\angle 2 = 57`

To Find :
`\angle 1 = ?`

Solution:

Linear pair : A linear pair is a pair of adjacent, supplementary angles.

So,
`\angle 1 +\angle 2 = 180^(\circ)`

`\angle 1 +57^(\circ)= 180^(\circ)`

`\angle 1 = 180^(\circ)-57^(\circ)`

`\angle 1 = 180^(\circ)-57^(\circ)`

`\angle 1 =123^(\circ)`

Hence
`\angle 1 =123^(\circ)`

Answer 2

<1 + <2 =180 it is a straight line

<1 + 57 =180

subtract 57 from both sides

<1=180 -57

<1 = 123 degrees