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Mark the Correct Alternative in Each of the Following: If All the Three Angles of a Triangle Are Equal, Then Each One of Them is Equal to - Mathematics

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Question

Mark the correct alternative in each of the following:
If all the three angles of a triangle are equal, then each one of them is equal to

Options

  •  90°

  •  45°

  •  60°

  •  30°

MCQ

Solution

In a given ΔABC we are given that the three angles are equal. So, ∠A = ∠B = ∠C

According to the angle sum property of a triangle, in ΔABC

∠A + ∠B + ∠C = 180°

                 3∠A = 180°

                  ∠A = 60°

∠A = ∠B = ∠C = 60°

Therefore, all the three angles of the triangle are equal to 60°

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Chapter 11: Triangle and its Angles - Exercise 11.4 [Page 25]

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RD Sharma Mathematics [English] Class 9
Chapter 11 Triangle and its Angles
Exercise 11.4 | Q 1 | Page 25
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