Maths-
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: straight angle A equals 70 to the power of ring operator


    • We have been given a diagram of a triangle in the question named ABC we have also been given 𝑚∠𝐵 = 55°.
    • We have to find out 𝑚∠A.
    Step 1 of 1:
    We have given figure

     
    Here, AB = AC
    It means the given triangle is an isosceles triangle.
    Now,
    By base angle theorem straight angle B equals straight angle C.
    And it is given straight angle B equals 55 to the power of ring operator
    So, straight angle B equals straight angle C equals 55 to the power of ring operator
    Step 2 of 2:
    We know that the sum of angle of a triangle is 1800

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

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

    straight angle A plus 2 straight angle B equals 180 to the power of ring operator

    straight angle A plus 2 open parentheses 55 to the power of ring operator close parentheses equals 180 to the power of ring operator
    straight angle A equals 70 to the power of ring operator

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