Question

The second angel of a triangular garden is 4times as large as the first. The third angel is 45 degrees less than the the sum of the other 2 angels. How do you find the measure of the third angle?

Answer 1

The third angle = `67.5^o`

Explanation:

The sum of the angles of a triangle = `180^o`

Let angle 1: `x^o`, angle 2: `(4x)^o`, so angle 3: `x^o + (4x)^o -45^o`

`x^o +(4x)^o +x^o + (4x)^o -45^o = 180^o`

`10x^o = 225^o, x = 22.5^o`

angle 1: `22.5^o`, angle 2: `90^o` and angle 3 = `67.5^o`