Question

1. solve for x. circle your answer.

(2x + 7)° 131° (diagram of a straight line with angles (2x + 7)° and 131°)

Explanation:

Step1: Identify supplementary angles

The two angles \((2x + 7)^\circ\) and \(131^\circ\) are supplementary (they form a linear pair), so their sum is \(180^\circ\).
\[
(2x + 7) + 131 = 180
\]

Step2: Simplify the equation

Combine like terms:
\[
2x + 138 = 180
\]

Step3: Solve for \(x\)

Subtract 138 from both sides:
\[
2x = 180 - 138
\]
\[
2x = 42
\]
Divide both sides by 2:
\[
x = \frac{42}{2}
\]
\[
x = 21
\]

Answer:

\(x = 21\)