Mathematics
Grade-8
Easy

Question

Find the measures of a, b and  c?

  1. a equals 60 degree comma b equals 60 degree comma c equals 60 degree
  2. a equals 70 degree comma b equals 30 degree comma c equals 80 degree
  3. a equals 90 degree comma b equals 45 degree comma c equals 45 degree
  4. a equals 100 degree comma b equals 30 degree comma c equals 50 degree

hintHint:

We know the measure of each angle of an equilateral triangle is 60.
So, angle X = angle Y = angle Z = 60 degree

The correct answer is: a equals 60 degree comma b equals 60 degree comma c equals 60 degree


    We know the measure of each angle of an equilateral triangle is 60.
    So, angle X = angle Y = angle Z = 60 degree
    Now, exterior angle a and angle x are supplementary.
    So, a = 60
    And exterior angle c and angle y are supplementary.
    So, c = 60
    And exterior angle b and angle z are supplementary.
    So, b = 60
    Hence, the measure of a=b=c=60.

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