Question

In the figure, AB Il CD. Find the value of x​

Answer 1

Answer:

PEF=BEG=85°. (Vertically opposite angles)

BEG=DGQ= 85°. (Corresponding angles)

now, DGQ+QGH=180°. (LINEAR PAIR)

85° + QGH = 180°

.°. QGH= 95°

Similarly, QHC+QHG= 180° (linear pair)

115° + QHG = 180°

QHG= 65°

NOW,. QGH + QHG + x = 180° (ANGLE SUM PROPERTY)

95° + 65° + x = 180°

x= 180° - 160°

x= 20°