If EC bisects ∠BED, then ∠BEC and ∠CED have the same measurement. ∠BEC = ∠CED
From the equation above, find the value of x so we could calculate the measurement of ∠BED ∠BEC = ∠CED 11x + 2 = 8x + 20
Move the one with variable to the left side, and move the constant to the right side 11x + 2 = 8x + 20 11x - 8x = 20 - 2 3x = 18 x = 18/3 x = 6
The value of x is 6
Find the measurement of ∠BED ∠BED is formed by ∠BEC and ∠CED ∠BED = ∠BEC + ∠CED ∠BED = 11x + 2 + 8x + 20 ∠BED = 19x + 22 Now input the value of x ∠BED = 19(6) + 22 ∠BED = 114 + 22 ∠BED = 136
The measurement of ∠BED is 136°. The answer is option d.
