Lines and angles class 9
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210°
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210 Degrees
Step-by-step explanation:
∠RPQ = ∠PRC = 50 Degrees (Alternate interior angles)
∠PRC + ∠PRS = 180 Degrees (Linear Pair)
50 + y = 180 y = 180-50 = 130 degrees
So, y = 130 degrees
∠DST + ∠FTS = 180 Degrees ( Co-interior angles are supplementary)
110 + ∠FTS = 180
∠FTS = 180 - 110 = 70 Degrees
∠RTE + ∠RTS + ∠FTS = 180 Degrees (Linear pair)
30 + x + 70 = 180
100 + x = 180
x = 180 - 100 = 80 Degrees
x = 80 Degrees
y = 130 Degrees
x + y = 130 + 80
130 + 80 = 210 Degree
210 DEGREES IS THE ANSWER
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