Question

Please answer this as fast as you can​

Answer 1

Answer:

126.

Step-by-step explanation:

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Answer 2

ɢɪᴠᴇɴ:

• XY and MN intersect at O.
• Value of $\angle$ POY = 90°.
• Ratio of a and b is 2:3.

ᴛᴏ ғɪɴᴅ:

• The value of $\angle$XON=c.

ᴀɴsᴡᴇʀ:

Here $\angle$XOM ,$\angle$MOP & $\angle$POY are angles in a straight line.

So the sum of the angles will be 180°.

Now let us take ratio of a:b be 2x:3x .

Atq ,

$\sf{\implies 2x + 3x + 90^{\circ}=180^{\circ}}$

$\sf{\implies 5x = 180^{\circ}-90^{\circ}}$

$\sf{\implies 5x = 90^{\circ}}$

$\sf{\implies x = \dfrac{90^{\circ}}{5}}$

$\red{\bf{\mapsto x = 18^{\circ}}}$

$\angle$

Hence

• a =2x = 36°
• b = 3x = 54°

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Now , $\bf{\angle MOY=\angle XON}$ (vertically opposite angles)

$\sf{\implies c = 90^{\circ}+36^{\circ}}$

$\purple{\bf{\leadsto c = 126^{\circ}}}$

Hence the required answer is 126°.