Mathematics

Problem

In the given figure (not drawn to scale),

AB \parallel CD

and

PQ

QR

intersects

AB

and

CD

both at

E

F

and

G

H

respectively. Find the value of

x

. ![Geometric diagram showing two parallel lines AB and CD intersected by two transversals PQ and QR. AB is vertical, CD is vertical. PQ intersects AB at E and CD at G. QR intersects AB at F and CD at H. Angle PEF is 80 degrees. Angle QHG is 120 degrees. Angle QGH is labeled x.](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/b6c9b5d7655a4b65ad27062d858a1140/c397c8d13a885b05543b490ca9317118_img.jpg) (A)

40^\circ

(B)

20^\circ

(C)

100^\circ

(D)

30^\circ

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