Q. 25.0( 1 Vote )

# <span lang="EN-US

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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