Question

Determine the value of x for which r is parallel to s if m angle 1 = 60-2x and m angle 2=70-4x

Answer 1

`x=5`

Explanation:

`m\angle1=60-2x` and
`m\angle2=70-4x` are corresponding angles.

Since corresponding angles are congruent, we have

`70-4x=60-2x`

Group similar terms to get;

`70-60=-2x+4x`

`10=2x`

`5=x`