Problema Solution

The sum of the four angle measures of any convex quadrilateral is

360

degrees. Suppose that a convex quadrilateral has angle measures of

30

,

+10y1

, and

−6y7

degrees. Write an expression for the degree measure of the fourth angle.

Answer provided by our tutors

The measures of the three angles are 30, 10y^1 and -6y^7 and we need to find the measure of the forth angle.

Knowing the sum of all four angles is 360 we calculate the measure of the forth angle:

360 - (30 + 10y^1 - 6y^7) = 330 - 10y + 6y^7 degrees,