Question

the sum of two angles of triangle is 120 degree and there difference is 20 degree .find all the three angle of the triangle​

Answer 1

Answer:

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Step-by-step explanation:

The sum of two angles of a triangle is 120° and their difference is 20° find all three angles of the triangle Get the answers ... one.of angle may be 70°and other may be 50°

Answer 2

Given :-

• the sum of two angles of triangle is 120°.
• there difference is 20° .

To find :-

• All the three angle of the triangle ?

Solution :-

Let us assume that two angles are x and y . { where x > y.}

Than,

According to question,

→ x + y = 120

→ x - y = 20

Adding both we get,

→ (x + y) + (x - y) = 120 + 20

→ x + x + y - y = 140

→ 2x = 140

Dividing both sides ,

→ x = 70°.

Putting value of x ,

→ 70° + y = 120°

→ y = 120° - 70°

→ y = 50° .

Now,

Sum of all three angles is Equal to = 180° .(By angle sum property.)

So,

→ 70° + 50° + 3rd angle = 180°

→ 120° + 3rd angle = 180°

→ 3rd angle = 180° - 120°

→ 3rd angle = 60°.

Hence, All the three angle of the triangle are 50° , 60° and 70° .

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