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1 July, 11:44

In triangle ABC, the measure of angle A is 30 degrees. In triangle DEF the measure of angle F is 60 dredgers. Find the rest of the angle measures in each triangle and compare them

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  1. 1 July, 12:15
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    Hence In ΔABC ∠B = 90 and ∠C = 60 and ΔDEF ∠D = 30 and ∠E=90

    (units are in degrees)

    Step-by-step explanation:

    Given:

    Two triangles ABC and DEF has to similar triangles

    (otherwise there is no way to find 2 angles of triangle with one angle given and no other relationship)

    To Find:

    Remaining angles of the two triangles.

    Solution:

    Two triangles to be the similar or congruent it implies that

    ABC≅DEF

    ∠A=∠D ∠B=∠E

    and ∠C=∠F

    Hence ∠A=30

    i. e ∠D=30 degree.

    ∠F=60

    i. e.∠C=60 degree.

    Now

    Sum of all angles of triangle is 180

    ∠A+∠B+∠C=180

    30+∠B+60=180

    ∠B=180-90

    ∠B=90

    Therefore angle B is 90 degree.

    Hence ∠E=90 degree

    And ∠D=180-∠E-∠F=30 degree.

    Angle D=30 degree.
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