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Answer: x = 140 (choice C)</h3>
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Explanation:
Focus on the upper semicircle. It's composed of the arc pieces that are 30 degrees, x degrees, and y degrees. The y is the missing unmarked portion of the upper semicircle.
Subtract the 30 and y degree angles, divide by 2, and set that result equal to 10. This will help us solve for y
(30-y)/2 = 10
30-y = 10*2
30-y = 20
-y = 20-30
-y = -10
y = 10
Because the 30, x and y arcs form a semicircle, this must mean the three arcs add to 180 degrees
30+x+y = 180
30+x+10 = 180
x+40 = 180
x = 180-40
x = 140
Answer:
x = 30° and y = 52°
Step-by-step explanation:
angles on the circle subtended by the same arc are congruent
x and 30° are on the same arc, then x = 30°
y and 52° are on the same arc, then y = 52°
It's the perimeter, you just have to add all the sides. so the answer is 24!
