Q: Which of the following is the correct formula for finding a coterminal angle?

$$\theta + 360^\circ k$$, where $$k is an $$integer

Question 1

What is the supplement of an angle measuring $$30^\circ$$?

Accepted Answer

$$150^\circ$$

Question 2

What is the complement of an angle measuring $$30^\circ$$?

Accepted Answer

$$60^\circ$$

Question 3

Find the least positive coterminal angle for $$420^\circ.$$

Accepted Answer

$$60^\circ$$

Question 4

If two angles are supplementary and one measures $$48^\circ$$, what is the measure of the other angle?

Accepted Answer

$$132^\circ$$

Question 5

Given that $$	an(	heta) is $$undefined, which of the following could be the value of $$	heta in $$degrees?

Accepted Answer

$$90^\circ$$

Question 6

Find the terminal side of an angle in standard position that passes through the point $$(-2,1). $$What is the reference angle?

Accepted Answer

$$153.4^\circ$$

Question 7

If $$\angle 1$$ and $$\angle 2$$ are supplementary and $$\angle 1 = 110^\circ$$, what is $$\angle 2$$?

Accepted Answer

$$70^\circ$$

Question 8

Which of the following is the correct formula for finding a coterminal angle?

Accepted Answer

$$	heta + 360^\circ k$$, where $$k is an $$integer

Question 9

If $$\angle 3$$ and $$\angle 4$$ are vertical angles and $$\angle 3 = 75^\circ$$, what is $$\angle 4$$?

Accepted Answer

$$75^\circ$$

Question 10

A ladder leans against a wall making a $$65^\circ$$ angle with the ground. What is the angle between the ladder and the wall?

Accepted Answer

$$25^\circ$$

Question 11

If $$\angle 5$$ and $$\angle 6$$ are adjacent and form a straight line, and $$\angle 5 = 2x + 10$$ and $$\angle 6 = 3x - 20$$, what is the value of $$x$$?

Accepted Answer

$$38$$

Question 12

Which of the following best describes a reference angle?

Accepted Answer

The angle formed by the terminal side and the x-axis

Question 13

If $$\angle 7 = 3x + 15$$ and $$\angle 8 = 2x + 45$$ are supplementary, what is the value of $$x$$?

Accepted Answer

$$24$$

Question 14

Which of the following is NOT a possible value for an angle in standard position?

Accepted Answer

Question 15

If $$	an(	heta) = \frac{1}{\sqrt{3}}$$, what is the reference angle $$	heta$$?

Accepted Answer

$$30^\circ$$

Step-by-Step Guidance for Trigonometry Worksheet (Angles, Terminal Sides, Supplementary Angles)

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