44.9k views
5 votes
Please help me I don't understand this question.

Please help me I don't understand this question.-example-1
User Sulla
by
8.3k points

1 Answer

6 votes

Answer:

206°

I realise that I didn't do it the easiest way. :(

Explanation:

So first find angle XCY.

XCY = 180 - 72 - 26 = 82°

Then you can see that angle WCR is 154° because of vertical angles.

Arc RW is 154° too because WCR is a central angle.

Arc ZW is 26° because WCX is a central angle.

All we have to find now is angle ZCR.

You can see that ZCR and XCW are vertical angles.

ZCR = 26°

Arc ZR is also 26° because ZCR is a central angle.

154° + 26° + 26° = 206°

User SathOkh
by
8.3k points