line xy and MN intersect at o .if angle POY =90°and a:b=2:3 find c
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Step-by-step explanation:
Hey!
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When we move towards centre of earth, the mass is equally distributed in all directions.
The mass beneath you = Mass in front of you = Mass behind you
Thus, all the gravitational forces applied cancel each other and acceleration due to gravity (g) at centre of earth on centre of earth becomes zero (0).
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Answered by
8
Figure:-
Given:-
- XY and MN intersect at O.
- <POY = 90°
- a:b = 2:3
To Find:-
- Find c ......?
Solutions:-
Let the common ratio between a and b be x.
a = 2x and b = 3x
XY is a straight line, rays OM and OP stand on it.
Therefore,
⟹ <XOM + <MOP + <POY = 180°
⟹ b + a + <POY = 180°
⟹ 3x + 2x + 90° = 180°
⟹ 5x + 90° = 180°
⟹ 5x = 180° - 90°
⟹ 5x = 90°
⟹ x = 90°/5
⟹ x = 18°
- a = 2x = 2 × 18° = 36°
- b = 3x = 3 × 18° = 54°
MN is a straight line. Ray OX stand on it.
⟹ b + c = 180° ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀(Linear pair)
⟹ 54° + c = 180°
⟹ c = 180° - 54°
⟹ c = 126°
Additional Information:-
- Straight line = Angle which measures 180°.
- Supplementary Angle = The two angle are supplementary, if there sum are 90°.
- Complementary Angle = The two angle are complementary, if these sum are 90°.
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