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In the Given Figure, δAbc is an Equilateral Triangle. Find M∠Bec. - Mathematics

Short Note

In the given figure, ΔABC is an equilateral triangle. Find mBEC

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Solution

It is given that,   Δ ABC is an equilateral triangle 

We have to find  `m angle BEC`

Since Δ ABC  is an equilateral triangle.

So `angle A + angle B + angle C = 180°`

And

 `angle A = angleB = angleC` = 60°        …… (1)

Since, quadrilateral BACE  is a cyclic qualdrilateral

So ,  `angle A + angleE = 180°`       (Sum of opposite angles of cyclic quadrilateral is 180° .)

`60° + angle E = 180°`

           `angle E = 120°`

Hence

`m angle BEC = 120°`

 

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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 15 Circles
Exercise 15.5 | Q 1 | Page 100
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