Question

In the figure, AB ∥ CD ∥ EF and ∠QPR= 50°, ∠DST= 110° and ∠RTE=30° , find (y + x) : (y — x)

Answer 1

Answer:

QPR+PRS=180 (interior angles)

50 + PRS= 180

PRS= 180-50= 130=y

DST=STE (alternate angles)

DST=STR+RTE

110= x+30

110-30=x

80=x

y+x:y-x=130+80:130-80

=210:40

=21:4