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Math Help - Triangle angle measures

  1. #1
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    Exclamation Triangle angle measures

    In triangle ABC, the complement to angle A measures 38 degrees 49 minutes 48 seconds and the supplement to angle B measurres 76 degrees 23 second. What is the measure of angle C?
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    triangle angle measure

    Quote Originally Posted by chellyluv View Post
    In triangle ABC, the complement to angle A measures 38 degrees 49 minutes 48 seconds and the supplement to angle B measurres 76 degrees 23 second. What is the measure of angle C?
    Good morning chelly,
    Be not fooled by unnessary info which may or not be true.


    bjh
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  3. #3
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    Quote Originally Posted by chellyluv View Post
    In triangle ABC, the complement to angle A measures 38 degrees 49 minutes 48 seconds and the supplement to angle B measurres 76 degrees 23 second. What is the measure of angle C?
    Hi chellyluv,

    You need only find the measure of angle A.

    Since you know the supplement of angle C,
    you can use the exterior angle theorem of a triangle to find C.

    The measure of an exterior angle of a triangle
    is equal to the sum of the measures of the two remote interior angles.

    Find the measure of angle A:

    Code:
      90 00' 00"    89 59' 60"
    - 38 49' 48"  - 38 49' 48"
    -----------   -----------
                    51 10' 12"
    Now, since the supplement of angle B
    is equal to the sum of the measures of angles A and C,
    we can subtract the measure of angle A from that of B's supplement,
    and we've found angle C.

    Code:
     76 00' 23"     75 60' 23"
    -51 10' 12"   - 51 10' 12"
    -----------   -----------
                    24 50' 11"
    Attached Thumbnails Attached Thumbnails Triangle angle measures-1.jpg  
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  4. #4
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    triangle angle measures

    Quote Originally Posted by masters View Post
    Hi chellyluv,

    You need only find the measure of angle A.

    Since you know the supplement of angle C,
    you can use the exterior angle theorem of a triangle to find C.

    The measure of an exterior angle of a triangle
    is equal to the sum of the measures of the two remote interior angles.

    Find the measure of angle A:

    Code:
      90 00' 00"    89 59' 60"
    - 38 49' 48"  - 38 49' 48"
    -----------   -----------
                    51 10' 12"
    Now, since the supplement of angle B
    is equal to the sum of the measures of angles A and C,
    we can subtract the measure of angle A from that of B's supplement,
    and we've found angle C.

    Code:
     76 00' 23"     75 60' 23"
    -51 10' 12"   - 51 10' 12"
    -----------   -----------
                    24 50' 11"
    This problem is intended to confuse by stating an angle in degrees,minutes,seconds and in referring to the supplement of B.
    Atriangle containing an angle and its complement is a right triangle so angle C= 90 deg


    bjh
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  5. #5
    A riddle wrapped in an enigma
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    Quote Originally Posted by bjhopper View Post
    This problem is intended to confuse by stating an angle in degrees,minutes,seconds and in referring to the supplement of B.
    Atriangle containing an angle and its complement is a right triangle so angle C= 90 deg


    bjh
    Hi bjhopper,

    Unless I'm mistaken, the OP never said that the triangle contained both the angle and its complement. He just stated what the complement of angle A was. He never said it was in the triangle ABC. Same goes for the supplement of angle B.

    Did you see my attachment? That's the way I understood the question. I see no trickery here.
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  6. #6
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    triangle measures

    Quote Originally Posted by masters View Post
    Hi bjhopper,

    Unless I'm mistaken, the OP never said that the triangle contained both the angle and its complement. He just stated what the complement of angle A was. He never said it was in the triangle ABC. Same goes for the supplement of angle B.

    Did you see my attachment? That's the way I understood the question. I see no trickery here.
    Hi Masters,
    Ilooked on this as a trick question but I agree that your interpretation is correct.

    bjh
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