Çözüldü Trigonometry - Angles in Square and Right Trapezoid

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  1. Honore

    Honore Yönetici Yönetici

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    In quadrilateral ABCD if [AD] // [BC], |CD| = 0.5·|AB|, and [BC] is perpendicular to [CD] what is the measure of angle B?

    A) 150°
    B) 135°
    C) 120°
    D) 90°


    ∡B = [ arccos( |AB| / 2 / |AB| ) + π / 2 ]·180° / π = 150°.

    Check by WolframAlpha: https://www.wolframalpha.com/input?i=(arccos(x/2/x)+pi/2)*180/pi
    Note: |AB| = x

    The Original Diagram of the Problem and Its Verbal, Nonsensical Solution Based on the Unnecessary Calculation of Angle A:
    [​IMG]
    https://i72.servimg.com/u/f72/19/97/10/39/sat_qu10.png
    https://assets.collegedunia.com/pub...e_test_8_cd080778ccd4d6017f7f75d85aed41b3.pdf
    [Page 350 (56 in the pdf file), Question 30]

    [​IMG]
    https://i72.servimg.com/u/f72/19/97/10/39/sat40.png
    https://assets.collegedunia.com/pub...anation8_3a6ad737c073126cbbeaa0909b5afb47.pdf
    [Page 419 (47 in the pdf file), Question 30]

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