Question

11. You are asked to put a V-shaped roof on a house. The slope of the roof is 53°. What is the measure of the angle needed at the vertex of the roof? (Hint: You are given the base angles, and you need to find the vertex angle.)

Answer 1

We know that the slope of the roof is 53 degrees. We also know that all angles in a triangle add up to 180 degrees. We can use the properties of an isosceles triangle (a triangle with equal base angles, as observed in most roofs) to find the vertex angle as follows: V + 53 + 53 = 180 => V + 106 = 180 => V = 74 degrees