Question

Find the value of x that makes p || q

Answer 1

x = 40

Explanation:

These angles are known as same-side interior angles. They are supplementary angles meaning they have a sum of 180°.

`2x+20+80=180\\2x+100=180\\2x=80\\x=40`

Answer 2

x=40

Explanation:

80°+(2x+20)°= 180°... (co-interior angles are supplementary)

2x=180 - 80 - 20

2x=80

(divide both sides by the coefficient of x which is 2)

x=80÷2

x=40

Check:

(2x+20) must be equal to 100

Let x=40

Therefore :

2X40+20

=100