Question

32. In the given figure PQ||RS, find the value of x.
P
35°
T
X
650
S.
R​

Answer 1

Answer:

check the answer below!!!

Step-by-step explanation:

Given that,

PQ || RS, ∠P = 35°, ∠R = 65°

Draw AB || PQ through T, ( As given in the figure)

So, AB || RS ( since PQ || RS )

∠QPT+∠PTB = 180° ( co-interior angle)

35° + ∠PTB = 180°

∠ PTB = 180°-35°

= 145° ______ (1)

∠SRT+∠RTB = 180° ( co-interior angle)

65° + ∠RTB = 180°

∠RTB = 180° - 65°

∠RTB = 115° ______ (2)

From (1) & (2)

∠x = ∠PTB + ∠RTB

= 145° + 115°

= 260°