Question

In a triangle, if the second angle is 15% more than the first angle and the third angle is 15% less than the
first angle, then find the three angles of the triangle.​

Answer 1

Step-by-step explanation:

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°.