Question

One of the angles of a quadrilateral is a right angle . The other three angle are (x-10), (30+2x) , and (5x+30) . Find the measure of the largest angle of the quadrilateral.

Answer 1

Sum of All angles of a Quadrilateral is 360 degrees

Now

${90}^{0} + (x - 10) {}^{0} +(30 + 2x) ^0 + (5x + 30) ^0 = 360 ^0 \\ \\ 8x ^0 + 140 ^0 = 360 ^0 \\ \\ 8x = 220 ^0 \\ \\ x = 27.5 ^0$

The largest Angle is 137.5 degrees.

hope it helps.