Question

question 5 of 10
what is the measure of ∠fsm?
(5x + 32)°
(7x + 8)°
a. 92°
b. 94°
c. 95°
d. 93°

Explanation:

Answer:

Since \( \angle FSM\) and \( (5x + 32)^{\circ}\) are vertical - angles, they are equal. Also, \( (5x + 32)^{\circ}\) and \( (7x + 8)^{\circ}\) are supplementary (linear - pair), so \( (5x + 32)+(7x + 8)=180\).

Combining like terms: \(12x+40 = 180\).

Subtracting 40 from both sides: \(12x=140\), then \(x = 12\).

\(\angle FSM=(5x + 32)^{\circ}\), substituting \(x = 12\) gives \(\angle FSM=(5\times12 + 32)^{\circ}=(60 + 32)^{\circ}=92^{\circ}\)

A. \(92^{\circ}\)