Question

In the given figure, P parallel to q and r parallel to s. Find the angles a, b and c.​

Answer 1

Answer:

11x+5+2z=180

∘

...(1)

60

∘

+136

∘

−8y=180

∘

...(2)

(1) and (2) both form straight lines

From (2)

y=

8

60+136−180

⇒y=2

∘

136−8y

∘

=2z

vertically opposite angles are equal

z=

2

136−8(2)

⇒z=60

∘

From (1)

x=

11

180−5−2(60)

⇒x=5

Answer 2

=> a = 88°

=> because it is vertically opposite angle of angle which is already given I. e. 88°

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we have supposed a new angle z

Z and A are interior angles

so, their sum = 180°

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Z = 92°

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C = Z = 92°

=> because it is vertically opposite angle of Z

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B = C = 92°

=> Because it is corresponding angle of C

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Measures :-

• a => 88°
• b => 92°
• c => 92°