Question

1. if ∠e≅∠k, m∠e = 124°, and m∠k = 4x + 8, then which of the following is the value of x? (1) 7 (2) 12 (3) 23 (4) 29

Explanation:

Step1: Set up the equation

Since $\angle E\cong\angle K$, we have $m\angle E = m\angle K$. So, $124=4x + 8$.

Step2: Isolate the term with $x$

Subtract 8 from both sides: $124−8=4x+8 - 8$, which simplifies to $116 = 4x$.

Step3: Solve for $x$

Divide both sides by 4: $x=\frac{116}{4}=29$.

Answer:

(4) 29