Question

hw 1.3.4 angles formed by intersecting lines
the measure of the supplement of an angle is 30 more than twice the measure of the angle.
the measure of the larger angle is

Explanation:

Step1: Let the angle be $x$.

The supplement of the angle is $180 - x$.

Step2: Set up the equation.

We are given that $180 - x=2x + 30$.

Step3: Solve the equation for $x$.

Add $x$ to both sides: $180=2x + 30+x$, so $180 = 3x+30$.
Subtract 30 from both sides: $180 - 30=3x$, i.e., $150 = 3x$.
Divide both sides by 3: $x = 50$.

Step4: Find the supplement.

The supplement is $180 - 50=130$.

Answer:

130