In the figure below, X Z is a diameter of circle A.
1 answer:
Answer:
<em>mYZ = 59°</em>
Step-by-step explanation:
If XZ is a diameter is forms a semicircle with it's arc degree half of that of the circle, in other words 180°. That would mean:
m∠ ZAY + m∠ YAX = 180,
( 5w + 4 ) + ( 11w ) = 180,
11w + 5w + 4 = 180,
16w = 176,
w = 11°
Now mYZ is, in other words, m∠ ZAY, so let us solve for m∠ ZAY:
m∠ ZAY = 5w + 4,
m∠ ZAY = 5 * ( 11 ) + 4,
m∠ ZAY = 55 + 4,
m∠ ZAY = 59°,
<em>mYZ = 59°</em>
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