Question

Please tell the answer of
q20

Answer 1

Answer:

x = 30°

y = 30°

z = 60°

Step-by-step explanation:

If we consider PNML as a parallelogram,

• PN || LM and PM is a transversal,

=> <NPM = < PML = 30°

=> x = 30°

• In triangle NMP, < M = 90°

=> 90° + 30° + z = 180°

[Angle Sum Property of a triangle]

=> 120° + z = 180°

=> z = 180° – 120°

=> z = 60°

• PL || NM and LM is a transversal,

=> x = y = 30°

[Corresponding Angles]

=> y = 30°

Hope it helps!!