1. Find the area of triangle ABC if AB = 6, BC = 8, and angle ABC = 90 degrees.
2. If angle ABC = 135 degrees, and angle ACB = 30 degrees, what is angle BAC?
1. The triangle is a right triangle, as it has one right angle. It never said what the hypothesis is, or AC, and AB is 6 and BC is 8. 6 * 8 = 48 48 / 2 = 24 square units.
2. Because we know that a triangles angles can only equal 180, otherwise it is not a triangle, and we know two angles, we can subtract 180 from both of them. 180 - 135 - 30 = 180 - (135 + 30) = 180 - 165 = 15 degrees.