Question

Find the value of x

A.
38
B.
62
C.
102
D.
150

Answer 1

x=62

Explanation:

You set the two angles equal to each other and solve. See work attached for more.

Answer 2

A. 38

Explanation:

From the diagram,
`s=(2x+26)\degree` because corresponding angles are equal.

`s+(3x-36)\degree=180\degree`. the sum of interior angles of a triangle.

By substitution, we obtain;

`(2x+26)\degree+(3x-36)\degree=180\degree`

Group similar terms;

`2x+3x=180+36-26`

`5x=190`

Divide both sides by 5.

`x=38`