Maths-
General
Easy

Question

Find the measure of each angle of an equilateral triangle using base angle theorem.

hintHint:

  • the base angle theorem states that if the sides of a triangle are congruent then the angles opposite these sides are congruent.
  • An equilateral triangle is a triangle with all the three sides of equal length.

The correct answer is: straight angle A equals straight angle B equals straight angle C equals 60 to the power of ring operator


    • We have to find the measure of each angle of an equilateral triangle using base angle theorem.
    Step 1 of 1:
    Let a triangle be ABC

     
    Here,
    AB = AC
    Using base angle theorem

     straight angle B equals straight angle C
    And, B C equals A C
    So, straight angle A equals straight angle B
    Therefore,

     straight angle A equals straight angle B equals straight angle C
    Step 2 of 2:
    We know that the sum of all angles of a triangle is 1800.
    Now,

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

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

    3 straight angle A equals 180 to the power of ring operator

    straight angle A equals 60 to the power of ring operator
    So,

    straight angle A equals straight angle B equals straight angle C equals 60 to the power of ring operator

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