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26 May, 17:32

Triangle ABC is similar to triangle QRS by the AA Similarity Postulate. Also, m∠A = 32° and m∠S = 102°. What is m∠B?

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  1. 26 May, 19:58
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    The sum of interior angles of any polygon is:

    s=180 (n-2)

    Since we are dealing with a triangle:

    s=180 (3-2)

    s=180°

    That is, the sum of angles of any triangle is 180°.

    In this case we are given two angles with measures of 32° and 102° so

    a+b+c=180

    32+b+102=180 combine like terms on left

    b+134=180 subtract 134 from both sides

    b=46°
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