Question

Angle B and angle C are supplementary. If the measure of angle B is 14 times the measure of angle C, what is the measure of angle B?
Enter your answer as the correct value, like this: 42
explain why

Answer 1

Answer: the difference between the angles is 156

Step-by-step explanation: firstly, you need to assume that C is variable X

by that you can say that B is 14X , since B is 14 times C which we assumed is X

and since they are "supplementery" then the addition of those angles will be 180 degrees so by saying B+C=180° which is the same is (14X)+X=180° you can find X (C)

then multiply the result X(C) by 14 to get angle B

then subtract the angles B and C and you're done

Answer 2

Answer: 156

Step-by-step explanation:
We know that Angle B + Angle C = 180
If B is 14 times greater that means B = Angle C x 14. That means Angle C = 180/ Angle B.
Which also equals to Angle C = 180/ Angle C x 14. Angle C =. 180/15 which means Angle C = 12. If Angle B + Angle C = 180 that means Angle B = 168. 168-12= 156