Question

1. question: two angles form a right angle. one angle measures 7x - 3 and the other measures 5x + 9. what is the value of x?

• a. x = 8
• b. x = 7
• c. x = 11
• d. x = 13

1. question: in a complementary pair, one angle is x and the other is 4x. find the value of x.

• a. x = 18
• b. x = 5
• c. x = 15
• d. x = 22.5

1. question: an angle measures 3x + 15. its complement measures x + 5. what is x?

• a. x = 15
• b. x = 17.5
• c. x = 25
• d. x = 20

Explanation:

Step1: Recall the property of complementary angles

Complementary angles sum to \(90^{\circ}\).

Step2: Set up the equation for problem 2

\((7x - 3)+(5x + 9)=90\)

$$
LATEXBLOCK0
$$

Step3: Set up the equation for problem 3

\(x + 4x=90\)

$$
LATEXBLOCK1
$$

Step4: Set up the equation for problem 4

\((3x + 15)+(x + 5)=90\)

$$
LATEXBLOCK2
$$

Answer:

1. B. \(x = 7\)
2. A. \(x = 18\)
3. B. \(x = 17.5\)