Question

Angles C and E are supplementary. The M>C = 112 and M>E = (3x + 50) Solve for X.

Answer 1

6

Explanation:

If angles C and E are supplementary then they add up to be 180 degrees.

So we have:

`112+(3x+50)=180`

`112+3x+50=180`

Using commutative property to gather like terms:

`3x+112+50=180`

Simplify:

`3x+162=180`

Subtract 162 on both sides:

`3x=180-162`

Simplify:

`3x=18`

Divide both sides by 3:

`x=(18)/(3)`

`x=6`

Check:

If
`x=6` then the measurement of angle E is
`(3 \cdot 6+50)=68`.

The measurement of angle C plus the measurement of angle E is:

112+68=180.