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Math Help - Finding the measures of a Triangle

  1. #1
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    Finding the measures of a Triangle

    Hey Guys!

    For number 39, I do not understand how to get answers B and C. I understand that for angle T, B = 20. Since both sides are congruent, the angles opposite these sides are also congruent. Now angle T = 80 because 80+80 = 160 + 20 = 180.
    I do not understand how part B is 100 and part C is 40. Can somebody clarify these for me? Thanks.
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  2. #2
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    Re: Finding the measures of a Triangle

    Quote Originally Posted by Cake View Post
    Hey Guys!

    For number 39, I do not understand how to get answers B and C. I understand that for angle T, B = 20. Since both sides are congruent, the angles opposite these sides are also congruent. Now angle T = 80 because 80+80 = 160 + 20 = 180.
    I do not understand how part B is 100 and part C is 40. Can somebody clarify these for me? Thanks.
    1. Your considerations and calculations are OK so far.

    2. The straight line AT forms an angle of 180 at R. Since angle T = angle R the angle  |\angle(ARB)|=180^\circ-80^\circ

    3. The triangle \Delta(BRA) is isosceles that means the angles \angle(RBA) and \angle(BAR) are have the same measure.
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  3. #3
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    Re: Finding the measures of a Triangle

    Hi,
    I hope you can follow the calculations in the attachment:

    Finding the measures of a Triangle-mhfgeometry44.png
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