Question

Solve for x in each of the figures below and mark the correct value. Assume that the lines are parallel.

Answer 1

x = 117

Explanation:

Let;

y = 115⁰ with the diagram above ( co- interior angles are equal)

Also the y being 115⁰ and Z are on a straight line and must add up to 180⁰

115⁰ + Z = 180⁰

Z = 180⁰ - 115⁰

Z = 65⁰

Now; our Z being 65 and the question ( X -2) are on a straight line.

So; ( X - 2 ) + 65 = 180⁰

X + 63 = 180⁰

X = 180⁰ - 63

X = 117⁰

OR

Let y = 115⁰ ( co- interior angles)

now y is vertically opposite to ( X - 2 ) and must be equal .

So;

(x -2) = 115⁰

x = 115⁰ +2

x = 117 ⁰

therefore the value of x is 117⁰