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The value of the variable x is 30° and the value of the variable y is 10°.
The missing diagram is attached below.
<h3>What is an angle?</h3>The angle is the distance between the intersecting lines or surfaces.
Corresponding angle – If two lines are parallel, then the third line. The corresponding angles are equal angles.
Vertically opposite angle – When two lines intersect, then their opposite angles are equal.
Linear angle – If the total of two angles is 180 degrees, they are said to be linear angles.
∠1 = ∠5 = ∠9 = 105° (corresponding angles)
∠1 = ∠4 = 105° (Vertical opposite angles)
∠1 + ∠2 = 180° (linear angle)
∠2 = 75°
∠2 = ∠3 = 75° (Vertical opposite angles)
∠3 = ∠8 = ∠12 = 75° (corresponding angles)
If angle ∠1 = 105°, angle ∠12 = (3x + 15)°, and angle ∠7 = (8y-5)°.
Then the value of x and y will be
∠9 = ∠12
∠1 = ∠12
105° = (3x + 15)°
3x = 90°
x = 30°
∠6 = ∠7
75° = (8y – 5)°
8y = 80°
y = 10°
More about the angled link is given below.
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Answer: The circumference of the circle is 53.38 cm.
Step-by-step explanation:
Circumference of the circle is the distance around the circle.
Formula used:
Where,
C is circumference of circle
r is radius of circle
Given:
Radius of circle = 8.5 cm
Now putting all the given values in the above formula, we get:
Therefore, the circumference of the circle is 53.38 cm.