Question

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

Answer 1

Answer:

6

Step-by-step 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:

$x=\frac{18}{3}$

$x=6$

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.