Question

9/25 angles are awesome circuit
find m<abc =
a
8x + 22
b
10x - 8
e
c
d

Explanation:

Step1: Set up equation

Since vertical - angles are equal, we set \(8x + 22=10x - 8\).

Step2: Solve for x

Subtract \(8x\) from both sides: \(22 = 2x-8\). Then add 8 to both sides: \(2x=22 + 8=30\). Divide both sides by 2, so \(x = 15\).

Step3: Find the measure of angle ABC

Substitute \(x = 15\) into the expression for \(\angle ABC\) which is \(8x+22\). So \(m\angle ABC=8\times15 + 22\). Calculate \(8\times15=120\), then \(120+22 = 142\).

Answer:

142