write the name of transversal that intersects line m and line n
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name of the transeversal which intersect line m & line n is line p
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∠PSB and ∠PTD ,∠ASP and ∠CTP, ∠QSB and QTD, ∠ASQ and ∠CTQ are called pairs of corresponding angles and they are equal.
Step-by-step explanation:
Given: transversal p , m and n -two parallel lines.
Let transversal be PQ, and let the two lines be AB and CD.
Let PQ intersects AB and CD at S and T respectively.
when a transversal intersects two parallel lines , eight angles are formed. Also the following properties hold.
pairs of vertically opposite angles are equal.
- pairs of alternate interior angles are equal.
- pairs of corresponding angles are equal
- each pair of interior angles on the same side of the transversal are supplementary.
- each pair of exterior angles on the same side of transversal are supplementary.
thus when PQ intersects AB and CD , pairs of corresponding angles are equal .that is ∠PSB = ∠PTD,ASP = ∠CTP, ∠ASQ= ∠CTQ, ∠MSQ = ∠NTQ
#SPJ2.
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