Question

In a triangle, If the second angle is 5° greater than the first angle and the third angle is 5° greater than second angle, find the three angles of the triangle. ​

Answer 1

Answer:

Therefore, the value of the second angle of the triangle is 60°. Therefore, the value of the third angle of the triangle is 65°.

Step-by-step explanation:

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Answer 2

➼Solution:-

Let "x" be the first angle.

Then, the second angle  =  x + 5

The third angle  =  x + 5 + 5  =  x + 10

We know that,

⇒the sum of the three angles of a triangle  =  180°

⇒x + (x + 5) + (x + 10)  =  180°

⇒3x + 15  =  180

⇒3x  =  165

⇒x  =  55

➼The first angle  =  55°

➼The second angle  =  55 + 5  =  60°

➼The third angle  =  60 + 5  =  65°

➼So, the three angles of a triangle are 55°, 60° and 65°.