Answer:
1) ∠P, ∠DPR, ∠KPR, ∠RPD
2) x = 111°
3) x = 5
4) m∠3 = 72°
Step-by-step explanation:
1) All of the angles display ∠P, you will noticed this if you go from the first letter point and it goes to ∠P and to the last letter point with only including ∠P.
2) I already solved this one in a different post of yours. Subtract all known values from 180° to get your answer.
3) Use the same principle knowing that all sides of a triangle add up to 180°. Add all of the angles together, set the equation to 180 and solve for x.
4) By the Alternate Exterior Angles Theorem, If a transversal intersects two parallel lines, then alternate exterior angles are congruent. Therfore, m∠6 ≡ m∠2, and we know m∠2. Solve by subtracting 108° from 180° because angles on the same line add up to 180°.
