Question

16 min left need help asap

Answer 1

Answer: XD < XY

Explanation:

Since, By the exterior angle property,

`\angle DXY + \angle DYX = 98^(\circ)`

Since, given,
`\angle DXY = 46^(\circ)`

Therefore,
`46^(\circ) + \angle DYX = 98^(\circ)`

`\angle DYX = 52^(\circ)`

Now,
`\angle YDX = 180^(\circ)-98^(\circ)= 82^(\circ)` ( by the property of linear angles )

Thus,
`\angle DYX < \angle YDX`

Since, In a triangle, the opposite side of largest angle is always greater than that of smallest angle.

⇒ XD < XY

Hence, Option C is correct.