General
General
Easy

Question

hintHint:

  • the base angle theorem states that if the sides of a triangle are congruent then the angles opposite these sides are congruent.

The correct answer is: AC = 15in


    • We have been given a diagram of triangle in the question named ABC we have also been given ∠ABC = 40 and ∠ACB = 40
    • We have to Find 𝑚∠𝐴 and 𝐴𝐶.
    Step 1 of 1:
    We have given triangle

     
    Since,

     straight angle B equals straight angle C equals 40 to the power of ring operator
    And we know that sum of all angles of a triangle is 1800
    So,

     straight angle A plus straight angle B plus straight angle C equals 180 to the power of ring operator

    straight angle A plus 40 to the power of 0 plus 40 to the power of 0 equals 180 to the power of ring operator

    straight angle A plus 80 to the power of 0 equals 180 to the power of ring operator

    straight angle A equals 100 to the power of ring operator
    Step 2 of 2:
    Since,straight angle B equals straight angle C equals 40 to the power of ring operator text  and  end text A B equals 15 in
    By, Converse of base angle theorem,

    AB = AC
    So,

    AC = 15 in.

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