Question

16. Find the value of 'x' in the following figure.
Class 8th​

Answer 1

Answer:

angle R={180-(52+64)}°=(180-116)°=64°

so angle RPT=64° [alternative angle]

so, Angle PTS=x=(180-64)°=116°

Answer 2

Step-by-step explanation:

construction: produce SU to A in such a way that SA//QR and A is a point on PQ

now,

in ∆PQR AU//QR

PRQ=PUA

180-(52+64)= PUA

180-(116)=PUA

64=PUA

PUA+PUS= 180 (liniear pair)

64+PUS= 180

PUS= 180-64

PUS= 116

PTUS is a //gm so opposite angle will be equal

PUS = X

116= X

#666