Q. If two angles are complementary and one angle measures 35 degrees, what is the measure of the other angle?
A.
55 degrees
B.
45 degrees
C.
65 degrees
D.
75 degrees
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Solution
Complementary angles add up to 90 degrees. Therefore, the other angle is 90 - 35 = 55 degrees.
Correct Answer:
A
— 55 degrees
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Q. If two angles are supplementary and one angle measures 75 degrees, what is the measure of the other angle?
A.
105 degrees
B.
75 degrees
C.
90 degrees
D.
45 degrees
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Solution
Supplementary angles add up to 180 degrees. Therefore, the other angle is 180 - 75 = 105 degrees.
Correct Answer:
A
— 105 degrees
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Q. If two lines are perpendicular, what is the measure of the angles formed?
A.
90 degrees
B.
45 degrees
C.
180 degrees
D.
60 degrees
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Solution
Perpendicular lines form angles of 90 degrees.
Correct Answer:
A
— 90 degrees
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Q. If two lines intersect and one of the angles formed is 40 degrees, what is the measure of the vertically opposite angle?
A.
40 degrees
B.
80 degrees
C.
60 degrees
D.
20 degrees
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Solution
Vertically opposite angles are equal, so the vertically opposite angle is also 40 degrees.
Correct Answer:
A
— 40 degrees
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Q. If two parallel lines are cut by a transversal, what is the relationship between the alternate interior angles?
A.
They are equal
B.
They are supplementary
C.
They are complementary
D.
They are unequal
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Solution
Alternate interior angles are equal when two parallel lines are cut by a transversal.
Correct Answer:
A
— They are equal
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Q. In a circle, if an angle subtended by an arc at the center is 80 degrees, what is the angle subtended at any point on the remaining part of the circle?
A.
40 degrees
B.
80 degrees
C.
20 degrees
D.
60 degrees
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Solution
The angle subtended at the circumference is half of the angle subtended at the center, so it is 80 / 2 = 40 degrees.
Correct Answer:
A
— 40 degrees
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Q. In a right triangle, if one angle is 30 degrees, what is the measure of the other non-right angle?
A.
60 degrees
B.
30 degrees
C.
45 degrees
D.
90 degrees
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Solution
In a right triangle, the sum of the angles is 180 degrees. Therefore, the other angle is 180 - 90 - 30 = 60 degrees.
Correct Answer:
A
— 60 degrees
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Q. In a triangle, if one angle measures 50 degrees and another measures 60 degrees, what is the measure of the third angle?
A.
70 degrees
B.
80 degrees
C.
90 degrees
D.
100 degrees
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Solution
The sum of angles in a triangle is 180 degrees. Therefore, the third angle is 180 - 50 - 60 = 70 degrees.
Correct Answer:
A
— 70 degrees
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Q. What is the measure of each angle in a regular hexagon?
A.
120 degrees
B.
90 degrees
C.
60 degrees
D.
150 degrees
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Solution
The measure of each interior angle in a regular hexagon is (n-2) * 180 / n = (6-2) * 180 / 6 = 120 degrees.
Correct Answer:
A
— 120 degrees
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Q. What is the sum of the interior angles of a pentagon?
A.
540 degrees
B.
360 degrees
C.
720 degrees
D.
180 degrees
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Solution
The sum of the interior angles of a polygon is (n-2) * 180 degrees. For a pentagon (n=5), it is (5-2) * 180 = 540 degrees.
Correct Answer:
A
— 540 degrees
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