Question

the Vertical angle of an isosceles triangle is three times the sum of its base angles find each angle​

Answer 1

Answer:

answer is 60 40 and 80

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Answer 2

Answer:

22.5° ,22.5° and 135° are the angles.

Step-by-step explanation:

Let the base angles be x.

Then the vertical angle is (3times the sum of base angles)

Now, the sum of base angles = x + x => 2x

•

• • The vertical angle is 3( 2x ) => 6x

6x + x + x = 180°

8x = 180°

x = 180°/8

x = 22.5°

Therefore the base angles (x) = 22.5° , 22.5°

And vertical angle (6x) = 22.5° × 6 = 135°

Answer: 22.5°, 22.5° and 135°

To verify the answer , we use a property of triangle, that is angle sum property. According to it ,the sum of all sides should be 180°

So lets see whether the sum of all angles is 180° or not.

22.5° + 22.5° + 135° = 180°

So therefore, it's proved that our answer is correct.

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