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8. Show that the angles of an equilateral triangle are 60° • each.

8. Show that the angles of an equilateral triangle are 60°

• each.

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 60787 Points
3 years ago
As A ABC is equilateral. :. AB = BC = CA Now AB = BC L C = L A ...(i) .De [Angles opposite to equal sides of a triangle are equal.] Similarly, BC = AC L A = L B ...(ii) [Reason same as above] L A = L B = L C ...(iii) [From (i) end (ii)] In A ABC, L A + L B + L C = 180° [Sum of angles of a triangle is 180°.] L A + L A + L A = 180° [From (iii)] 3L A = 180° L A = 60° .. L A = L B = L C = 60°.

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