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What is the measure of the angle z in the circle with center O?

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What is the measure of the angle z in the circle with center O?  [#permalink]

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New post 13 Sep 2018, 04:02
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What is the measure of the angle z in the circle with center O?

(1) y = 30
(2) x = 10


Attachment:
image008 (1).jpg
image008 (1).jpg [ 9 KiB | Viewed 312 times ]

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Re: What is the measure of the angle z in the circle with center O?  [#permalink]

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New post 13 Sep 2018, 04:19
Bunuel wrote:
Image
What is the measure of the angle z in the circle with center O?

(1) y = 30
(2) x = 10


Attachment:
The attachment image008 (1).jpg is no longer available

Attachment:
IMG_20180913_174102270.jpg
IMG_20180913_174102270.jpg [ 47.33 KiB | Viewed 255 times ]

The figure above gives two equation.
z = 360-2(x+a)-2(y+b) = 2*[180-(a+b)]-2(x+y), and z = 180-(a+b)
So, z = 2z - 2(x+y)
=> z = 2 (x+y)
So, x is dependednt on both x & y. Hence, C.
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Re: What is the measure of the angle z in the circle with center O? &nbs [#permalink] 13 Sep 2018, 04:19
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