Question

The second angle of a triangle is 3 times as large as the first angle. The third angle is 30 degrees more than the first angle. How large are the angles?

Answer 1

`30^@, 90^@ and 60^@`.

Explanation:

Suppose that `A,B,C" are the three angles of "DeltaABC`.

By the `1^(st)` condition, `B=3A`, and by the `2^(nd), C=A+30^@`.

Knowing that `A+B+C=180`, we utilise the above to get,

`A+(3A)+(A+30)=180`.

`:. 5A=180-30=150`.

`:. A=30^@, B=3A=90^@ and C=A+30^@=60^@`.