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plz guys help me in this question answer fast plz it's urgent plz don't give unnecessary answers plzzzzzzz
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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°
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