Question

The angle measurements in the diagram are represented by the following expressions.

Answer 1

143°

Explanation:

<A and <B are corresponding angles

< A = < B

plugging the values

`7x + 24 = 3x + 92`

Move variable to L.H.S and change its sign

`7x - 3x + 24 = 92`

Move constant to R.H.S and change its sign

`7x - 3x = 92 - 24`

Calculate

`4x = 68`

Divide both sides of the equation by 4

`(4x)/(4) = (68)/(4)`

Calculate

`x = 17`

Replacing value

<A =
`7x + 24`

`= 7 * 17 + 24`

`= 119 + 24`

`= 143`

hope this helps...