Question

find the value of the variable and the measure of each labeled angle.
x = 16
(type a whole number.)
(x + 26)° = 42°
(type a whole number.)
(5x - 38)° = □°
(type a whole number.)

Explanation:

Step1: Substitute \(x = 16\) into \((x + 26)^{\circ}\)

\((16+26)^{\circ}\)

Step2: Calculate the sum

\(16 + 26=42\), so \((x + 26)^{\circ}=42^{\circ}\)

Step3: Substitute \(x = 16\) into \((5x-38)^{\circ}\)

\((5\times16 - 38)^{\circ}\)

Step4: Calculate the value

First, \(5\times16=80\), then \(80-38 = 42\), so \((5x - 38)^{\circ}=42^{\circ}\)

Answer:

\(x = 16\), \((x + 26)^{\circ}=42^{\circ}\), \((5x - 38)^{\circ}=42^{\circ}\)