please explain it fully explanation. Please do mention angles .
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Step-by-step explanation:
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Answer:
If AB parallel to CD
and PS Is a transversal then,
7x+14=angle QRD(alternate interior angles)
also
angle QRD+4x+89=180°(adjacent angles)
If angle QRD=7x+14
then we can use 7x+14 in the equation of QRD+4x+89
therefore
7x+14+4x+89=180(
11x+103=180
11x=180-103=77
x=77/11=7
therefore the angles are
7x+14=7×7+14=49+14=63°
angle QRD=7x+14=63°
4x+89=4×7+89=117°
also
117+63=180°
180=180
L.H.S=R.H.S
hence verified
hope it helps
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