The measurement of angle DBE is 0.1x-33 and the measurement of angle CBE is 0.3x-39 what’s the value of x

Question

The measurement of angle DBE is 0.1x-33 and the measurement of angle CBE is 0.3x-39 what’s the value of x

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Bình An 3 years 2021-07-17T12:17:58+00:00 1 Answers 7 views 0

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    2021-07-17T12:19:30+00:00

    Answer:

    x = 405

    Step-by-step explanation:

    DBE is 0.1x-33 and the measurement of angle CBE is

    The sum of both angles form a right angled triangle ;

    DBE + CBE = DBC

    DBC = RIGHT angled triangle = 90°

    (0.1x-33) + (0.3x – 39) = 90°

    0.1x – 33 + 0.3x – 39 = 90°

    0.1x + 0.3x – 33 – 39 = 90

    0.4x – 72 = 90

    0.4x = 90 + 72

    0.4x = 162

    x = 162 / 0.4

    x = 405

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