Question

applying the standard
how might this standard appear on a test?

1. ∠gih and ∠jik are vertical angles. what is the measure of each angle?

18x + 28 = 22x + 4

Explanation:

Step1: Use vertical angles property

Vertical angles are equal. So, \(18x + 28=22x + 4\).

Step2: Solve for \(x\)

Subtract \(18x\) from both sides: \(28 = 4x+4\).
Subtract \(4\) from both sides: \(24 = 4x\).
Divide both sides by \(4\): \(x = 6\).

Step3: Find the measure of the angles

Substitute \(x = 6\) into \(18x + 28\): \(18\times6+28=108 + 28=136\).
Substitute \(x = 6\) into \(22x + 4\): \(22\times6+4=132 + 4=136\).

Answer:

The measure of \(\angle GIH\) and \(\angle JIK\) is \(136^{\circ}\) each.