Question

In figure 3, if POY = 90 and a:b=
2:3, then find the value of c.​

Answer 1

Answer:

c=126°

Step-by-step explanation:

xy is a straight line so the angle xoy is of 180°

and angle XOY is sum of angle POY and POM and MOX. so from there we can calculate angle MOX as

anglePOY + angle POM + angle MOX =180°

also MN is a straight line then angle MOX + angle NOX = 180°

WE calculated angle b earlier so putting the values and solving it we get c =126°

Answer 2

Answer:

c = 126°

Step-by-step explanation:

angle POY = 90°

a = 2x

b = 3x

a + b + anglePOY = 180°

2x + 3x + 90° = 180°

5x + 90° = 180°

5x = 90°

x = 18°

a = 2(18)

a = 36°

b = 3(18)

b = 54°

b + c = 180°

54° + c = 180°

c = 126°

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