if the difference between two complementary angles is 10 degree then the angles are​

Question

if the difference between two complementary angles is 10 degree then the angles are​

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1 month 2021-08-12T16:17:28+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-12T16:18:32+00:00

    Answer

    1. x = 50°
    2. ( 90 – x ) = 40°

    Given

    • Difference between two complementary angles is 10 degree

    To Find

    • Angles

    Solution

    Complementary angles are , ” x ” , ” ( 90 – x ) “ .

    A/c , ” Difference between two complementary angles is 10 degree

    x – ( 90 – x ) = 10

    ⇒ x – 90 + x = 10

    ⇒ 2x – 90 = 10

    ⇒ 2x = 100

    x = 50°

    So , First angle , x = 50°

    Other angle , 90 – x = 90 – 50 = 40°

    0
    2021-08-12T16:19:16+00:00

    Given :

    • Difference between two complimentary angle is 10°.

    To find :

    • The angles.

    According to the question,

    • Complementary angle means 90°

    → x – ( 90 – x ) = 10

    → x – 90 + x = 10

    → 2x – 90 = 10

    → 2x = 10 + 90

    → 2x = 100

    → x =100 ÷ 2

    .°. x = 50°

    • First angle is 90°
    • Other angle is 90 x = 90 50 = 40°

    __________________….

    Verification :

    → x – ( 90 – x ) = 10

    → 50 – ( 90 – 50 ) = 10

    → 50 – 40 = 10

    → 10 = 10

    .°. L.H.S = R.H.S

    Hence,verified...

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