Angles of triangle are in the ratio of 23:5. What is the Size of the smallest angle?​

Question

Angles of triangle are in the ratio of 23:5. What is the Size of the smallest angle?​

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Thiên Di 7 months 2021-07-21T01:34:31+00:00 2 Answers 1 views 0

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    0
    2021-07-21T01:35:46+00:00

    Answer:

    The smallest angle of a triangle is 36°.

    Step-by-step explanation:

    Given, the ratio of angles of a triangle is 2 : 3 : 5

    Let the angles of a triangle be ∠A, ∠B and ∠C.

    ∠A = 2x, ∠B = 3x, ∠C = 5x

    ∠A+∠B + ∠C= 180°

    [sum of all the angles of a triangle is 180°]

    2x + 3x + 5x = 180°

    10x = 180°

    x=180°/10 =18°

    ∠A=2x=2 x 18° = 36°

    ∠B = 3x = 3 x 18° = 54°

    ∠C = 5x = 5 x 18° = 90°

    Hence, the smallest angle of a triangle is 36°.

    HOPE IT HELPS!!!

    0
    2021-07-21T01:36:14+00:00

    Answer:

    ratio 2 : 3 : 5

    size of smallest angle

    180 \times  \frac{2}{10}  \\  = 36

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