Question

solve for x, then find the measure of the ang
7.
(3x + 23)°
c
4x°
b
a
m∠abc

Explanation:

Step1: Set up equation

Since the two angles are vertical angles and vertical angles are equal, we set $3x + 23=4x$.

Step2: Solve for x

Subtract $3x$ from both sides of the equation: $3x+23 - 3x=4x - 3x$, so $x = 23$.

Step3: Find measure of angle

Substitute $x = 23$ into the expression for $\angle ABC$ which is $4x$. Then $m\angle ABC=4\times23 = 92^{\circ}$.

Answer:

$92^{\circ}$