Question

In the figure (not drawn to scale), m∠A = 36º, m∠B=108º, m∠D=153º. Find m∠C

Answer 1

49.5°

Explanation:

Draw a line b/w B and D, this will "cut" the angles of both down the exact middle making it much easier to work with now that you have 2 separate triangles

For example, angle A remains 36° but angle B becomes 54° and angle D becomes 76.5°. Now that you have B and D, just subtract 180 from both to get your C value. 180° - 54° - 76.5° = 49.5°