Find the measure of angle which is equal to its complement and equal to its supplement

Question

Find the measure of angle which is equal to its complement and equal to its supplement

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Evelyn 2 months 2021-11-10T18:06:58+00:00 2 Answers 0 views 0

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    0
    2021-11-10T18:07:58+00:00

    Let the measure of the required angle be x°.

    Then,in case of complementary angles.

    ➞ x+x=90°

    ➞ 2x=90°

    ➞ x=45°

    Hence,measure of the angle that is equal to its complement is 45°.

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    Let the measure of the required angle be x°.

    Then,in case of supplementary angles.

    ➝x+x=180°

    ➝ 2x=180°

    ➝ x=90°

    Hence,measure of the angle that is equal to its supplement is 90°.

    0
    2021-11-10T18:08:02+00:00

    Answer:

    Hence,The Supplement Measure is 90°,

    And the Complement Measure is 45°

    Step-by-step explanation:

    Supplement

    Let the angle be x.

    x + x = 180°

    2x= 180°

    X= 180/2

    X= 90°

    Complement

    Let the angle be x.

    x + x = 90°

    2x = 90°

    X= 90/2

    X= 45°.

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