Question*1. a) What is the angle-pair relationship between the labeled angles? b) Use the relationship to write an equation and solve for $x$.

Studdy Solution
Solve the equation for $x$. First, isolate the variable $x$ by moving all terms involving $x$ to one side and constant terms to the other side.
$$3x + 5^\circ = 5x - 57^\circ$$
Subtract $3x$ from both sides:
$$5^\circ = 2x - 57^\circ$$
Add $57^\circ$ to both sides:
$$62^\circ = 2x$$
Divide both sides by 2:
$$x = \frac{62^\circ}{2}$$
$$x = 31^\circ$$
Solution: The value of $x$ is $31^\circ$.