Question

Find the value of x A. 38 B. 62 C. 102 D. 150

Answer 1

Answer:

x=62

Step-by-step explanation:

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

Answer 2

Answer:

A.  38

Step-by-step 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.

$x=38$