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OLEGan [10]
4 years ago
12

If EC bisects BED, find m BED

Mathematics
2 answers:
Vladimir [108]4 years ago
6 0
Answer is d indeed!!!
elena-s [515]4 years ago
6 0
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.
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