Question

in the given figure PQ is parallel to RS find the value of a and b​

Answer 1

Answer:

a = 50°

b = 60°

Step-by-step explanation:

∠b = ∠ABC     (Alternate interior angle)

∴ b = 60°

Similarly,

∠a+∠b = ∠ACS     (Alternate interior angle)

∴∠a + 60° = 110°

⇒a = 50°

Answer 2

Answer:

a =  50°

b = 60°

Step-by-step explanation:

b = 60° (being alternate angle)

for a,

(let there be 'x' beside S) -- no need to write this

x + 110° = 180°

or, x = 180°-110°

∴ x = 70°

Again,

60° + x + a = 180° (interior angles of a triangle)

or, 60°+70°+a+180°

or, 130°+a = 180°

or, a = 180° -130°

∴ a = 50°

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