Question

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

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Answer 1

Step-by-step explanation:

ABC is equitateral ∆ i.e all angles are to 60°

RBC is a straight line so <2 = 120°

BCS is a straight line so <3 = 120°

AB is a straight line so <2 + <1 = 180°

<1 = 60°

Answer 2

The sum of all interior angles in equilateral triangle is 180

angle 2= 180°-60° (linear pair of angles)

= 120°

angle 3= 180 -60° = 120°

angle 1 + 60 = angle 3 (alternate interior

angles)

let angle 1 be x

x+60 = 120

x = 120-60

= 60°