In the given figure l is parallel to m and p||q. Find the measurement of each of the angle a,b,c and d.
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answer : all angles are 90^o.
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No figure given but in 7th grade ncert there is a similar question so here is answer-
ANSWER:
Given: l∥m p∥q ∠1 = 65°∴∠1 = ∠a = 65° (vertically opposite angles)∠a + ∠d = 180° (consecutive interior angles on the same side of a transversal are supplementary)
or ∠d = 180°−65°= 115°∠c+ ∠d = 180° (consecutive interior angles on the same side of a transversal are supplementary)
or ∠c = 180°−115°= 65°∠c+ ∠b = 1
(consecutive interior angles on the same side of a transversal are supplementary)
or ∠b = 180°−65°= 115°∴
∠a = 65°∠b = 115°∠c= 65°∠d= 115°
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