Question

find the measures of the labeled angles. (x + 102)° = □° (type a whole number.)

Explanation:

Step1: Use vertical - angles property

Vertical angles are equal. So, $4x=(x + 102)$.

Step2: Solve the equation for x

Subtract x from both sides: $4x−x=x + 102−x$. This gives $3x=102$. Then divide both sides by 3: $x=\frac{102}{3}=34$.

Step3: Find the measure of the angle $(x + 102)$

Substitute $x = 34$ into $(x + 102)$. So, $34+102 = 136$.

Answer:

136