Angles and Parallel Lines - Problems on Circles - Applications

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Q. A triangle has angles measuring 50 degrees and 60 degrees. What is the measure of the third angle?
  • A. 70 degrees
  • B. 80 degrees
  • C. 90 degrees
  • D. 100 degrees
Q. If a circle has a radius of 5 cm, what is the circumference of the circle?
  • A. 10π cm
  • B. 15π cm
  • C. 20π cm
  • D. 25π cm
Q. If a line segment is divided into two equal parts, what is the measure of each part if the total length is 12 cm?
  • A. 4 cm
  • B. 5 cm
  • C. 6 cm
  • D. 7 cm
Q. If two lines are parallel and a transversal intersects them, how many pairs of alternate exterior angles are formed?
  • A. 1 pair
  • B. 2 pairs
  • C. 3 pairs
  • D. 4 pairs
Q. If two triangles are similar, what can be said about their corresponding sides?
  • A. They are equal.
  • B. They are proportional.
  • C. They are congruent.
  • D. They are not related.
Q. In a circle, if the angle subtended by an arc at the center is 80 degrees, what is the angle subtended by the same arc at any point on the remaining part of the circle?
  • A. 40 degrees
  • B. 80 degrees
  • C. 60 degrees
  • D. 20 degrees
Q. In a circle, if the diameter is 14 cm, what is the radius?
  • A. 7 cm
  • B. 14 cm
  • C. 21 cm
  • D. 28 cm
Q. In a circle, if the radius is 10 cm, what is the circumference?
  • A. 20π cm
  • B. 10π cm
  • C. 30π cm
  • D. 40π cm
Q. In a right triangle, if one angle is 30 degrees, what is the measure of the angle opposite the side that is half the length of the hypotenuse?
  • A. 30 degrees
  • B. 60 degrees
  • C. 90 degrees
  • D. 45 degrees
Q. In triangle ABC, if angle A = 30 degrees and angle B = 70 degrees, what is the measure of angle C?
  • A. 30 degrees
  • B. 40 degrees
  • C. 50 degrees
  • D. 80 degrees
Q. Two parallel lines are intersected by a transversal. If one of the corresponding angles is 75 degrees, what is the measure of the other corresponding angle?
  • A. 75 degrees
  • B. 105 degrees
  • C. 90 degrees
  • D. 60 degrees
Q. What is the measure of an exterior angle of a triangle if the two remote interior angles measure 50 degrees and 60 degrees?
  • A. 70 degrees
  • B. 80 degrees
  • C. 90 degrees
  • D. 100 degrees
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