Sum of Angles

CONCEPTS

Tips

• Use algebra equations to find angles based on given angle values & relationships

PRACTICE PROBLEMS

Question 1 Ray PK bisects ∠ LPM, the measure of ∠ LPM is 11x° and the measure of ∠ LPK is (4x + 18)°. What is the measure of ∠ KPM.

-- Answer -- 66°

∠ LPK * 2 = ∠ LPM

(4x + 18)° * 2 = 11x

x = 12°

∠ KPM = 4 * 12° + 18° = 66°

ACT PRACTICE PROBLEMS