Question

problem 19: the supplement of an angle is 42° more than the angle. find the angle. after you enter your answer press go.

Explanation:

Step1: Define the angle

Let the angle be $x$.

Step2: Define its supplement

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

Step3: Set up the equation

We know that the supplement of the angle is $42^{\circ}$ more than the angle, so $180 - x=x + 42$.

Step4: Solve the equation

Add $x$ to both sides: $180=2x + 42$.
Subtract $42$ from both sides: $2x=180 - 42=138$.
Divide both sides by $2$: $x = 69$.

Answer:

$69$