Question

the second angle od a triangle is 15 degree less than twice the first angle . the third angle is 20 degree more than the second angle . find the three angles
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Answer 1

Answer:

First angle = 38

Second angle = 61

Third angle = 81

Step-by-step explanation:

Let the first angle be x°.

According the question:-

Second angle = 2x-15

Third angle = 2x-15+20

= 2x+5

Sum of angles in triangle is 180°.

So, First angle + second angle + third angle

The equation becomes

(x)+(2x-15)+(2x+5) = 180

x+2x-15+2x+5 = 180

5x-10 = 180

5x = 180+10

5x = 190

x = 38

First angle = x = 38.

Second angle = 2x-15 = 61

Third angle = 2x-15+20 = 81.

Hope it's clear and is helpful.

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Answer 2

Answer:

Step-by-step explanation:

Step-by-step explanation:

Let the first angle be x°.

According the question:-

Second angle = 2x-15

Third angle = 2x-15+20

= 2x+5

Sum of angles in triangle is 180°.

So, First angle + second angle + third angle

The equation becomes

(x)+(2x-15)+(2x+5) = 180

x+2x-15+2x+5 = 180

5x-10 = 180

5x = 180+10

5x = 190

x = 38

First angle = x = 38.

Second angle = 2x-15 = 61

Third angle = 2x-15+20 = 81.