# Math Help - Quadrilateral Inscribed in a Circle?

1. ## Quadrilateral Inscribed in a Circle?

I need help with a word problem for a quadrilateral inscribed in a circle. It's as follows:

Measure of angle D = 75, measure of minor arc AB = x^2, measure of minor arc BC = 5x, and the measure of minor arc CD = 6x. Find x and the measure of angle A.

The answer is x=10 and m<A = 55. I just need the method used to come to that answer.

So $x^2+5x=150$.