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Math Help - Geometry Triangle!

  1. #1
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    Geometry Triangle!

    Hey Guys!

    I have a question here. I found the answer. All I did was find all the measures of the angles (Angle 3 = 68, Angle 2 = 68, Angle 1 = 44)

    All add up to 180. I divided 44 / 2 = 22 and 68 / 2 = 34

    34 + 22 = 56

    180 - 56 = 124

    Measure of Angle 5 = 124.

    Can anybody tell me the reason why this is the correct answer? I did not know what I was exactly doing while trying to solve the problem. Well, my final answer was 56 but I did not know I was supposed to subtract it from 180. Can somebody give me a quick walkthrough on how to professionally solve this?
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  2. #2
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    Re: Geometry Triangle!

    What you have been given IS a walkthrough on how to professionally solve it.

    The largest triangle is isosceles, so angles 3 and 2 are equal. Since they're both 68, angle 1 must be 44 as the three angles add to 180.

    To create the smaller triangles, the three angles are bisected. If we look at the left-most triangle, angle 3 is halved to give 34, angle 1 is halved to give 22. How do you get the third angle in this triangle if they all have to add to give 180?
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    Re: Geometry Triangle!

    Well, the question is how do I know I have to add half of angle 3 + half of angle 1 to get angle 5 and then subtract it from 180?
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  4. #4
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    Re: Geometry Triangle!

    For the third time, because the angles in a triangle always add to 180 degrees.
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