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

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

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Dulcie 1 month 2022-12-23T20:12:22+00:00 2 Answers 0 views 0

Answers ( 2 )

  1. hongcuc2
    0
    2022-12-23T20:13:38+00:00
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    Answer:
    angle B = 168 degrees
    Step-by-step explanation:
    Supplementary means that the two angles add up to equal 180, so we know that B + C = 180.
    We also know that B is 14 times C, so B = 14C.
    We can replace B in the original equation with 14C, so we get 14C + C = 180. Simplify this to get C = 12.
    Now we can multiply this by 14 to find B, so B = 168 degrees.

  2. Nho
    0
    2022-12-23T20:14:20+00:00
    Reply

    Answer: Angle C- 12
    Angle B- 168

    Step-by-Step explanation:
    Angle B + Angle C =180
    We know that Angle B is 14times greater than Angle C. So that means Angle B is equal to Angle C * 14
    Angle B= Angle C* 14
    Angle C is equal to 180/Angle B
    Angle C is equal to 180/Angle C* 14
    Angle C is equal to 180/15
    Angle C= 12 degrees
    We can now use this information to find Angle B. Since we know Angle B + Angle C is equal to 180. That means 180-12= Angle B
    Do Angle B is 180-12=168
    angle-b-and-angle-c-are-supplementary-if-the-measure-of-angle-b-is-14-times-the-measure-of-angle-29486034-72

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