Question

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Answer 1

Step-by-step explanation:

We know that the sum of linear pair are always equal to 180°

So,

POY +a +b = 180°

Putting the value of POY = 90° (as given in the question) we get,

a+b = 90°

Now, it is given that a : b = 4 : 5 so,

Let a be 4x and b be 5x

∴ 4x+5x = 90°

Solving this we get

9x = 90°

So, x = 10°

∴ a = 4×10 = 40°

Similarly, b can be calculated and the value will be

b = 5×10° = 50°

From the diagram, b+c also forms a straight angle so,

b+c = 180°

c+50° = 180°

∴ c = 130°

Answer 2

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