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Math Help - Angles and Degrees!

  1. #1
    Member Sazza's Avatar
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    Angles and Degrees!

    I have to find the value of each pro-numeral, and show the steps of working.
    I know it's an isosceles, and it's exactly like a traingle except it's on it's side, and it's pointing right.The bottom angles < > left and right are the pro-numerals b, and where the sides come up to meet the tip (top) the sides are equal, and the right side, near the tip, is 40*
    How would i find the angle of the pronumerals??
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  2. #2
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    earboth's Avatar
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    Quote Originally Posted by Sazza View Post
    I have to find the value of each pro-numeral, and show the steps of working.
    I know it's an isosceles, and it's exactly like a traingle except it's on it's side, and it's pointing right.The bottom angles < > left and right are the pro-numerals b, and where the sides come up to meet the tip (top) the sides are equal, and the right side, near the tip, is 40*
    How would i find the angle of the pronumerals??
    Hello,

    I've attached a sketch of the triangle.

    You are expected to know that the sum of all interior angles of a triangle is 180.

    s = 180^\circ = \alpha + \beta + \gamma

    You know that two angles are equal and the 3rd angle is 40:

    \beta = \alpha \ \text{and  } \gamma = 40^\circ

    Plug in the value into the equation given above:

    180^\circ = \alpha + \alpha + 40^\circ
    180^\circ - 40^\circ = 2 \cdot \alpha
    140^\circ = 2 \cdot \alpha
    70^\circ =  \alpha
    Attached Thumbnails Attached Thumbnails Angles and Degrees!-winkl_sum3eck.gif  
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