All the angles inside a quadrilateral add to 360 degrees. But first, we should solve for x Opposite angles add up to 180 degrees. So we'll use angles B and D x + 10 + x + 24 = 180 combine like terms 2x + 34 = 180 subtract 34 from both sides 2x = 146 divide both sides by 2 x = 73
Now let's solve for the angles Angle D: x + 24 = 97 Angle B: x + 10 = 83 Angle A: x + 15 = 88
Opposite angles add up to 180 we know that angle A is 88 C + 88 = 180 subtract 88 from both sides C = 92
