Question

the given figure AB||CD angle A PQ =50 degree, and angle PRD=130°, then QPR is ​

Answer 1

Answer:

50°

Step-by-step explanation:

Given,

ab parallel to cd

angle is 50 degree

and angle prd is 130 degree

then qpr = 180 -130(supplementary angle)

so , 180-130=50degree

Answer 2

angle QRP = 50° ( linear pair angle)

So, angle BPR = 50° ( alternate angle)

On line AB are 3 angles with linear pair

so, APQ + QPR + RPB = 180°

50° +(x) + 50° = 180°

100° + (x) = 180°

(x) = 180°- 100°

x = 80°

so, angle QPR = 80°