Given:
m∠1 = 20 - 8x
m∠2 = 30 - 16x
From the image we can see that m∠1 and m∠2 are corresponding angles, and corresponding angles are equal.
Therefore, we have:
m∠1 = m∠2
20 - 8x = 30 - 16x
Let's solve for x:
Add 16x to both sides:
20 - 8x + 16x = 30 - 16x + 16x
20 + 8x = 30
Subtract 20 from both sides:
20 - 20 + 8x = 30 - 20
8x = 10
Divide both sides by 8:
[tex]\begin{gathered} \frac{8x}{8}=\frac{10}{8} \\ \\ x\text{ = }1.25 \end{gathered}[/tex]
x = 1.25
m∠1 = 20 - 8x = 20 - 8(1.25) = 20 - 10 = 10
m∠1 = 10
m∠2 = 30 - 16x = 30 - 16(1.25) = 30 - 20 = 10
m∠2 = 10
ANSWER:
x = 1.25
m∠1 = 10 degrees
m∠2 = 10 degrees
