Question

show that the angle of an equilateral triangle are 60degree each
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Answer 1

Answer:

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Answer 2

Step-by-step explanation:

given:

ACB be an equilateral triangle

AB=BC=AC (all sides of equilateral triangle are equal)

to prove:

A=B=C=D=60

proof:

AB=AC

→ C = D (angles opposite to equal sides are equal) ......... (1)

AC=BC

→ B = A (angles opposite to equal sides are equal) ........ (2)

From (1)&(2)

A=B=C ...........(3)

In ∆ ABC,

A+B+C = 180 ( angle sum property of ∆le)

→A+A+A = 180 ( from 3)

→3 A = 180

→ A = 180/3

→ A = 60

A=B=C=60

hence proved