Q. 25.0( 1 Vote )

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Answer :

Let SP be the transversal and PQ || RS

P + S = 180° (consecutive interior angle adds up to 180°)


50° + S = 180°


S = 180° - 50°


S = 130°


Let RQ be the transversal and PQ || RS


R + Q = 180° (consecutive interior angle adds up to 180°)


110° + Q = 180°


Q = 180° - 110°


Q = 70°


The sum of inner and outer angle at vertex is 180°.


P + ext. P = 180°


50° + ext. P = 180°


ext. P = 180° - 50°


ext. P = 130°


Q + ext. Q = 180°


70° + ext. Q = 180°


ext. Q = 180° - 70°


ext. Q = 110°


R + ext. R = 180°


110° + ext. R = 180°


ext. R = 180° - 110°


ext. R = 70°


S + ext. S = 180°


130° + ext. S = 180°


ext. S = 180° - 130°


ext. S = 50°


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