Question

1. what is the measure of \\(\angle 4\\) if \\(\angle 4 = 4a + 30\\) and \\(a = 15\\)?

a. 95 degrees
b. 90 degrees
c. 80 degrees
d. 85 degrees

Explanation:

Step1: Substitute the value of a

Substitute \(a = 15\) into the expression for \(\angle4\). So \(\angle4=4a + 30\) becomes \(\angle4=4\times15+30\).

Step2: Perform multiplication

First, calculate \(4\times15 = 60\). Then the expression is \(\angle4=60 + 30\).

Step3: Perform addition

\(60+30=90\). So the measure of \(\angle4\) is 90 degrees.

Answer:

b. 90 degrees