Question

In the figure, AOB and COD are straight lines. Find the
value of a and of b.
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Answer 1

Answer:

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Answer 2

<DOB + <BOC = 180⁰ [ straight line ]

a + 60⁰ + 4b + 10⁰ = 180⁰

a + 4b = 110⁰

a = 110⁰ - 4b →(1)

<BOC + <AOC = 180⁰ [ straight line ]

4b + 10⁰ + 3a + 40⁰ = 180⁰

4b + 3a = 130⁰

Put value of a from (1)

4b +3(110⁰ - 4b) = 130⁰

4b + 330⁰ - 12b = 130⁰

8b = 200⁰

b = 25

a = 110 - 100 = 10