Please i need help with this inscribed Quadrilated question. The answer is there but i need to know how they got it,

When a quadrilateral is cyclic, the opposite angles add to \(180^{\circ}\), and so we may write:

[MATH](4+18y)+(10x-6)=180[/MATH]
[MATH](10x)+(16y+6)=180[/MATH]
Or:

[MATH]5x+9y=91[/MATH]
[MATH]5x+8y=87[/MATH]
Can you proceed?
 
MarkFL said:
When a quadrilateral is cyclic, the opposite angles add to \(180^{\circ}\), and so we may write:

[MATH](4+18y)+(10x-6)=180[/MATH]
[MATH](10x)+(16y+6)=180[/MATH]
Or:

[MATH]5x+9y=91[/MATH]
[MATH]5x+8y=87[/MATH]
Can you proceed?
Click to expand...

can you please explain it a little more?
 
coooool222 said:
am i supposed to use subsitution or elimination?
Click to expand...
Yes? Just solve the equations simultaneously in any way you can.

There is not more to explain than what you have been given. Can you identify "opposite angles"?
 
tkhunny said:
Yes? Just solve the equations simultaneously in any way you can.

There is not more to explain than what you have been given. Can you identify "opposite angles"?
Click to expand...
nvm i search it on youtube and found the answer but thank you!
 
You do not need youtube to decide which method to you. I just looked at the two equations MarkFl gave you and saw that y=4. Just subtract and y=4. You can substitute if you like or you can eliminate (like I did). You get to decide!
 
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