Question

In a triangle the largest angle is 20 degree more than the smallest angle the third angle is 10 degree more than smallest what is themeasure of smallest angle​

Answer 1

Step-by-step explanation:

Let , The smallest angle be x

Then , Largest angle = x + 20

Third angle = x + 10

We know ,

The sum of the angles in a triangle is 180

x + x + 20 + x + 10 = 180

3x + 30 = 180

3x = 150

x = 150/3

x = 50

∴ The measures of the angles of triangle are 50 , 70 and 60

Answer 2

Answer:

A + B + (A + B) = 180

A + B = A + 30

B = 30

2A + 2B = 180

A + 30 = 90

A = 90 - 30 = 60

But here A is larger than B, so this is impossible. I conclude that the angle that is 30 degrees more than the smallest angle is NOT the largest angle. Therefore

B = A + 30

A + B + (A + B) = 180

2A + 2 * (A + 30) = 180

A + A + 30 = 90

2A = 90 - 30 = 60

A = 30

Therefore the three angles are 30, 60, and 90

Step-by-step explanation:

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