Question

1. find the measure of ∠z. 28x + 7 z 29x + 3

Explanation:

Step1: Use property of parallel - lines

Since the two lines are parallel, the corresponding angles are equal. So, \(28x + 7=29x + 3\).

Step2: Solve for \(x\)

Subtract \(28x\) from both sides: \(7=x + 3\). Then subtract 3 from both sides, we get \(x = 4\).

Step3: Find the measure of an angle

Substitute \(x = 4\) into \(29x+3\). So, \(29\times4 + 3=116 + 3=119\).

Step4: Use linear - pair property

\(\angle z\) and the angle \(29x + 3\) are a linear - pair (sum to 180°). So, \(\angle z=180-(29x + 3)\). Substituting \(x = 4\), we have \(\angle z=180 - 119=61^{\circ}\).

Answer:

\(61^{\circ}\)