Determine the angles of b and c . Let a =40’ if b is a compliment of a and c is a supplement of b find these measures

Question

Determine the angles of b and c . Let a =40’ if b is a compliment of a and c is a supplement of b find these measures

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Ngọc Diệp 5 years 2021-08-04T13:46:29+00:00 1 Answers 18 views 0

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  1. trungdung22
    0
    2021-08-04T13:47:49+00:00
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    Answer:

    b = 50°

    c = 130°

    Step-by-step explanation:

    Two angles A and B are complementary if:

    A + B = 90°

    And two angles are supplementary if:

    A + B = 180°

    Then, we know that:

    a = 40°

    b is a complement of a (this means that a and b are complementary angles)

    c is a supplement of b (this means that b and c are supplementary angles).

    From the first statement, we have that:

    b + a = 90°

    Replacing the value of a we get

    b + 40° = 90°

    b = 90° – 40° = 50°

    b = 50°

    And now we can use that b and c are supplementary, then:

    b + c = 180°

    replacing the value of b we get:

    50° + c  = 180°

    c = 180° – 50° = 130°

    c = 130°

    Then the values we wanted are:

    b = 50°

    c = 130°

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