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Math Help - Two angles∠3 and ∠5 are each supplementary to ∠4. If m∠5 is 78, what is m∠3?

  1. #1
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    Two angles∠3 and ∠5 are each supplementary to ∠4. If m∠5 is 78, what is m∠3?

    Two angles∠3 and ∠5 are each supplementary to ∠4. If m∠5 is 78, what is m∠3?

    Two angles∠3 and ∠5 are each supplementary to ∠4. If m∠5 is 78, what is m∠3?

    A) 102
    B) 2
    C) 78
    D) 90
    E) 180
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  2. #2
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    Quote Originally Posted by Robby View Post
    Two angles∠3 and ∠5 are each supplementary to ∠4. If m∠5 is 78, what is m∠3?

    Two angles∠3 and ∠5 are each supplementary to ∠4. If m∠5 is 78, what is m∠3?

    A) 102
    B) 2
    C) 78
    D) 90
    E) 180
    Cannot decipher what this means: --> <--

    If appears as if it is stating this:
    If angle ∠3 is supplementary to angle ∠4
    &
    If angle ∠5 is supplementary to angle ∠4
    THEN
    the two angles ∠3 and ∠5 are equal
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  3. #3
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    So according to you,


    ∠3 = 78
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  4. #4
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    Not just according to aidan! "∠3 supplementary to ∠4" means "m∠3+ m∠4= 180" where "m" is the measure of the angle in degrees. Similarly, "∠5 supplementary to ∠4" means "m∠4+ ∠5= 180". Since those sums are both equal to 180, they are equal to each other: m∠3+ m∠4= m∠4+ m∠5. Now subtract m∠4 from both sides to get m∠4= m∠5.
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  5. #5
    Member rtblue's Avatar
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    nice explanation halls of ivy.
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  6. #6
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    can u tell which answer?
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  7. #7
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    Quote Originally Posted by Robby View Post
    can u tell which answer?
    It should be Angle 3=Angle 5. Which is 78 degrees. Which is answer C.
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