In triangle bcd if bc =bd angle b = 13x-35 angle c =5x-19 and angled d = 2x+14 find x and the measure of each angle

Question

In triangle bcd if bc =bd angle b = 13x-35 angle c =5x-19 and angled d = 2x+14 find x and the measure of each angle

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Sapo 5 years 2021-08-13T21:00:03+00:00 1 Answers 333 views 1

Answers ( )

  1. Ladonna
    1
    2021-08-13T21:01:43+00:00
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    Answer:

    <b = 108 degrees

    <c = 36 degrees

    <d = 36 degrees

    Step-by-step explanation:

    The sum of angle in a triangle is 180 degrees

    Hence <b + <c + <d = 180

    13x-35 + 5x – 19 + 2x + 14 = 180

    13x+5x+2x-35-19+14 = 180

    20x-40 = 180

    20x = 180 + 40

    20 x = 220

    x = 220/20

    x = 11

    Get <b

    <b = 13x-35

    <b = 13(11) – 35

    <b = 143-35

    <b = 108 degrees

    Get <c

    c =5x-19

    <c = 5(11)-19

    <c = 55-19

    <c = 36degrees

    Get <d

    <d = 2x+14

    <d = 2(11) + 14

    <d = 22+14

    <d = 36 degrees

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