The angles of a triangle are arranged ascending order of magnitude. If the difference between two consecutive angles is 10°, find the three angles.

Question

The angles of a triangle are arranged ascending order of magnitude. If the difference between two consecutive angles is 10&#xB0;, find the three angles.

Philoid · Accepted Answer

Given that,

The difference between two consecutive angles is 10^o.

Let, x, x + 10 and x + 20 be the consecutive angles differ by 10^o.

We know that,

x + x + 10 + x + 20 = 180^o

3x + 30^o = 180^o

3x = 180^o – 30^o

3x = 150^o

x = 50^o

Therefore, the required angles are:

x = 50^o

x + 10 = 50^o + 10^o

= 60^o

x + 20 = 50^o + 20^o

= 70^o

The difference between two consecutive angles is 10^o then three angles are 50^o, 60^o and 70^o.