Question

Question One: Two lines intersect. Find the value of B and, C. Question Two: In this figure, angles R and S are complementary. Find the measure of angle S.

Answer 1

1. B = 42° C = 138°

2. ∠S = 28°

Explanation:

1. Since b and 42° are across from each other, they are congruent angles. So, b would equal 42°. We still don't know the value of c, we can do 42 + 42 + 2c = 360, because again, the two angles are across from each other. The whole equation equals to 360 because the intersecting lines kind of forms a circle and a circle is 360°.

2. All the angles of a triangle add up to 180°. Since the triangle is a right triangle, we know 2 out of the 3 angles. The equation would then be, 62 + 90 + s = 180.