in circle a, ∠bae ≅ ∠dae. what is the value of x? 14 17 27 34
in circle a, ∠bae ≅ ∠dae. what is the value of x? 14 17 27 34
Answer
Answer:
C. 27
Explanation:
Step1: Use congruent - angle property in circle
Since $\angle BAE\cong\angle DAE$, the chords opposite these angles are equal. So, $BE = DE$.
Step2: Set up the equation
We have $3x - 24=x + 10$.
Step3: Solve the equation for x
Subtract $x$ from both sides: $3x-x-24=x - x+10$, which simplifies to $2x-24 = 10$. Add 24 to both sides: $2x-24 + 24=10 + 24$, getting $2x=34$. Divide both sides by 2: $\frac{2x}{2}=\frac{34}{2}$, so $x = 17$.