Question

In a triangle , the second angle is 5° more than the first angle. And the third angle is three times of the first angle . find the three angle of the triangle .plz help​

Answer 1

Answer:

• first angle is 35°
• second angle is 40°
• third angle is 105°

Step-by-step explanation:

• let the first angle be x
• let the second angle be x+5
• let the third angle be 3x
• the sum of angles of triangle is 180°
• x+x+5+3x=180
• 5x+5=180
• 5x=180-5
• x=175/5
• x=35
• x+5
• =35+5
• =40
• 3x
• =3*35
• =105

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Answer 2

Answer:

Let first angle =

$x$

Hence according to the question

2nd angle is 5 degree more than first angle

It means x+5=x

And the third angle is three times greater than first angle

It means 3x=x

We know that the sum of all internal angles of

A triangle = 180 degree

Hence, sum of [x+x+5+3x] will be =180 degree

So, x+x+5+3x=180

5x+5=180

5x=180-5

5x=175

X=175/5

X=35 degree

So the first angle [x] = 35 degree

Second angle [x+5]=35+5=40 degree

And the third angle [3x]=3*35=105 degree

Check :

X+x+5+3x=180

35+40+105=180

180=180

Hence, Proved.