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General
Easy

Question

If m straight angle B equals left parenthesis 5 x plus 7 right parenthesis to the power of 0 and m straight angle C equals left parenthesis 2 x plus 34 right parenthesis to the power of ring operator , find the value of x and m straight angle A text .  end text

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: straight angle A equals 76 to the power of ring operator


    • We have been given in the question that if 𝑚∠𝐵 = (5𝑥 + 7) ° and 𝑚∠𝐶 = (2𝑥 + 34) °
    • We have to find the value of x and 𝑚∠A
    Step 1 of 1:
    In the given figure,

     

    straight angle B equals straight angle C
    So,

     5 x plus 7 equals 2 x plus 34

     3 x equals 27

     x = 9
    So,

     straight angle B equals 5 x plus 7

      = 5(9) + 7

      = 520
    And,

    straight angle C equals 2 x plus 34

        = 2(9) + 34

        = 520
    Now we know that the sum of angle of 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 52 to the power of 0 plus 52 to the power of 0 equals 180 to the power of ring operator

    straight angle A plus 104 to the power of 0 equals 180 to the power of ring operator

    straight angle A equals 76 to the power of ring operator

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