Question

Which statement is true about the diagram below?

Answer 1

To me, none of the answers seem correct.

Explanation:

x = 30, y = 20 is 100 + 60 + 120 + 100 which is 380 total, so incorrect

x = 2, y = 2 is 10 + 10 + 8 + 100 which is 128 total, so incorrect

x = 60, y = 25 is 125 + 120 + 240 + 100 which is too great, so incorrect

x = 60, y = 52 is too great, so incorrect

Plz let me know what I did wrong if anyone gets the answer...

Answer 2

x = 22

y = 32

Explanation:

The sum of interior angles in a rectangle is 360° so

100° + 5y + 4x + 2x = 360 add like terms

6x + 4y = 260°

Now, we know that the measure of an inscribed angle in a circle is equal to the half of the arc it sees

so if the arc that 100° sees is equal to 200 then the arc 5y sees would be 160 (because perimeter of a circle is 360°)

if 5y = 160 then y = 32

We said 6x + 4y = 260° since we know what y is equal to now we can replace the value

6x + 4×32 = 260

6x + 128 = 260

6x = 132

x = 22

I think there must be a mistake in answering options but this is how we solve this kind of problems.