Question

find the measures of the labeled angles. 5x° (84−x)° 5x°=□° (type a whole number.)

Explanation:

Step1: Identify vertical angles

The two labeled angles are vertical angles, so they are equal. Thus, we set up the equation: $5x = 84 - x$.

Step2: Solve for x

Add $x$ to both sides: $5x + x = 84 - x + x$ → $6x = 84$.
Divide both sides by 6: $x = \frac{84}{6} = 14$.

Step3: Find the measure of $5x^\circ$

Substitute $x = 14$ into $5x$: $5\times14 = 70$.

Answer:

70