Question

the ratio of the angle measures in a quadrilateral is 1:4:5:6 find the measure of the largest angle

Answer 1

the sum of angles in a quadrilateral is 360 degrees

the four angles are in the ratio 1:4:5:6. let's suppose the smallest angle is x. that means the second angle in the ratio is 4x, the third is 5x, and the fourth is 6x, in order to keep the ratio the same.

so x + 4x + 5x + 6x = 360

solve for x

**important** it's asking for the largest angle. the largest angle is 6x, so once you have x, simply multiply it by 6 to determine the largest angle.