Question

please answer this question please ​

Answer 1

Answer:

x=50°( alternate interior angle)

now , x+y =127 (exterior angle property)

50+y=127

y=127-50

y=77

Answer 2

Answer:

26. x=50 , y=77

Step-by-step explanation:

angle BPR +angle PRD = 180 (interior angles on the same side of transversal)

angle BPR+127=180

angle BPR=180-127

angle BPR=53

angle APQ+angle QPR+angle BPR=180 (linear pair)

50+angle QPR+53=180

angle QPR=180-103

angle QPR=77

therefore, y=77 degree

angle APQ=X=50 (alternate angle)

therefore, x=50 degree

27. given:p is the mid point of AB

angle BAD=angle ABE

angle EPA=angle DPB

to prove: 1.triangle DAP is congruent to the triangle EBP.

2.AD=BE

proof:

1. AP=BP

angle DAP =angle EBP

angle EPA=angle DPB

angle EPA+angle EPD = angle DPB+angle EPD (adding the corresponding side)

angle APD = angle BPE

therefore, triangle APD is congruent to the triangle BPE. (ASA RULE).

2. triangle APD is congruent to the triangle BPE. ( proved)

therefore, AD=BE. (C.P.C.T)