Question

If ec bisects are congruent to bed find m bed ..??

Answer 1

m<BED = 136 deg

Explanation:

Since ray EC bisects <BED, angles BEC and CED are congruent. That means their measures are equal. Set the measures equal to each other, and solve for x.

11x + 2 = 8x + 20

Subtract 8x from both sides.

3x + 2 = 20

Subtract 2 from both sides.

3x = 18

Divide both sides by 3.

x = 6

Now we use the value of x to find the measure of angle BED.

The measure of angle BED is twice the measure of angle BEC. We know that x = 6.

m<BED = 2m<BEC = 2(11x + 2) = 2(11 * 6 + 2) = 2(66 + 2) = 2(68) = 136