1. Which figure shows an adjacent complement for the given angle?
A.
B.
C.
2. Think About the Process
a. How do you decide if the angles shown are complementary?
A. If the sum of the angles is greater than 180°, the angles are complementary.
B. If the sum of the angles is 180°, the angles are complementary.
C. If the sum of the angles is 90°, the angles are complementary.
D. If the sum of the angles is greater than 90°, the angles are complementary.
b. Are the angles shown complementary angles? If not, what should the measure of ∠ 1 be so that the angles are complementary?
A. Yes, the angles are complementary.
B. No, the angles are not complementary. The measure of ∠ 1 should be °.
3. Find the measure of the complement of an 18° angle.
4. Estimation ∠ 1 and ∠ 2 are complementary angles. The measure of ∠ 1 is 58°. The measure of ∠ 2 is 10x°. Estimate the value of x by rounding the measure of ∠ 1 to the nearest ten degrees. The figure is not drawn to scale.
5. Think About the Process ∠ 1 and ∠ 2 are complementary angles. The measure of ∠ 1 is 58°. The measure of ∠ 2 is (2x + 16)°. The figure is not drawn to scale.
a. What should you do first to find the value of x?
A. Write an equation where the difference of the measures of ∠ 1 and ∠ 2 is equal to 90°.
B. Write an equation where the sum of the measures of ∠ 1 and ∠ 2 is equal to 180°.
C. Write an equation where the difference of the measures of ∠ 1 and ∠ 2 is equal to 180°.
D. Write an equation where the sum of the measures of ∠ 1 and ∠ 2 is equal to 90°.
b. The value of x is .