Question

11) in the given figure, ABC is an equilateral
triangle, where the base BC lies on the
line RS. Through A, a line PQ is drawn
parallel to RS. Find the measures of
angles 1, 2 and 3. Give explanations for
your answers.​

Answer 1

Answer:

the sum of all interior angles in equilateral triangle is 180

angle 2= 180⁰-60⁰ (linear pair of angles)

= 120⁰

angle 3= 180 -60⁰

= 120⁰

angle 1 + 60 = angle 3 (alternate interior angles)

let angle 1 be x

x+60 = 120

x = 120-60

= 60⁰

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