Math, asked by Natalie11, 1 year ago

if all the three angles of a triangle are equal to one another, find the measure of each angle

Answers

Answered by dishu619
241
A.T.Q. let the three equal angles are be x,x,x
Then, By angle sum property of triangle
Therefore ,
x+x+x = 180
3x=180
x=180/3
x=60
Then, each angle of triangle is 60 degree
Answered by wifilethbridge
79

Answer:

The measure of each angle is 60°

Step-by-step explanation:

Let the one angle of triangle be x

Now we are given that all the three angles of a triangle are equal to one another.

So, ∠1=∠2=∠3=x

Now,

Angle sum property of triangle : The sum of all angles of triangle is 180°.

So, ∠1+∠2+∠3=180°

x+x+x=180^{\circ}

3x=180^{\circ}

x=60^{\circ}

So,  the measure of each angle is 60°

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