Angles and Parallel Lines - Exam Prep Problem Set

Angles and Parallel Lines - Problems on Triangles - Problem Set

Q. In a circle, if the radius is 7 cm, what is the circumference?

Solution

The circumference of a circle is given by 2πr. Therefore, circumference = 2π * 7 cm = 14π cm.

Correct Answer: B — 21π cm

Q. In a right triangle, if one angle is 30°, what is the ratio of the lengths of the sides opposite to the 30° and 90° angles?

Solution

In a 30-60-90 triangle, the side opposite the 30° angle is half the hypotenuse, giving a ratio of 1:2.

Correct Answer: A — 1:2

Q. In triangle DEF, if angle D = 40° and angle E = 70°, what is the measure of angle F?

Solution

Angle F = 180° - (40° + 70°) = 70°.

Correct Answer: B — 80°

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