In a convex quadrilateral, the measure of the largest angle is twice the measure of the smallest angle, and the other two angles are both right angles. How many degrees are in the largest angle?
I know that the sum of the interior angles of any quadrilateral is 360 degrees, so I can write an equation: A + B + C + D = 360. I also know that B and C are both right angles, so they each measure 90 degrees. I can substitute these values into the equation: A + 90 + 90 + D = 360. I can simplify the equation by combining like terms: A + D = 180. Finally, I know that A is twice as large as D, so I can write another equation: A = 2D. I can substitute this value into the first equation and solve for D: 2D + D = 180, or 3D = 180, or D = 60. Now that I have D, I can find A by doubling it: A = 2D = 2(60) = 120. 