Question

7 the measure of ∠aoc is 90°. find the value of x.

Explanation:

Step1: Set up equation

Since $\angle AOC = 90^{\circ}$, and $\angle AOC=\angle AOB+\angle BOC$, we have $(3x + 46)+14=90$.

Step2: Simplify left - hand side

Combine like terms: $3x+(46 + 14)=90$, so $3x+60 = 90$.

Step3: Isolate variable term

Subtract 60 from both sides: $3x=90 - 60$, which gives $3x=30$.

Step4: Solve for x

Divide both sides by 3: $x=\frac{30}{3}=10$.

Answer:

B. 10