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Math Help - Finding unknown angle

  1. #1
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    Finding unknown angle

    Finding unknown angle-2.jpg

    i want to know how to solve this question to find the x in it.And with explanation as i don't know how to solve it.
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  2. #2
    Senior Member eumyang's Avatar
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    Is that a parallelogram with its lower left corner "cut off"? If so, then imagine that you have this corner. It would form a triangle, with two of angles being are supplemental angles of 3x and 132. The 3rd would have be 2x.

    The sum of these angles is 180, so the equation is
    (180^{\circ} - 3x) + 48 + 2x = 180^{\circ}.

    Solve for x.
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  3. #3
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    where has 48 come from ?
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  4. #4
    Senior Member eumyang's Avatar
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    Quote Originally Posted by haftakhan View Post
    where has 48 come from ?
    It's the supplementary angle for the 132, one of the three angles in the "torn corner" of the parallelogram.
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  5. #5
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    Can u explain it in detail as i cant understand it
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  6. #6
    Senior Member eumyang's Avatar
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    Look at the attached diagram:
    Finding unknown angle-parallelogram.jpg

    I've added a "corner" to the parallelogram in your original drawing, and then I enlarged the corner. I'm assuming that this "corner" forms a triangle. The sum of angles a, b, and 2x has to equal 180.

    Angle a is the supplement of 3x, so a = 180^{\circ} - 3x. Angle b is the supplement of 132, so b = 180^{\circ} - 132^{\circ} = 48^{\circ}. Therefore, the sum of the angles in this triangle is
    (180^{\circ} - 3x) + 48 + 2x = 180^{\circ}.
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