Question

3 Complementary and Supplementary Questions 45 POINTS+BRAINLIEST

Answer 1

Answer:

1. B; the measure of the smaller angle is 35°

2. A; the value of x is 20

3. B; the measure of the larger angle is 52°

Step-by-step explanation:

1. We see that these two angles add up to 90 degrees, so:

x + (x - 20) = 90

2x - 20 = 90

2x = 110

x = 110/2 = 55

The two angles are thus 55 and 55 - 20 = 35. So, B is wrong; it should be "the measure of the smaller angle is 35°".

2. These two angles are on a line so they add up to 180 degrees:

3x + 6x = 180

9x = 180

x = 180/9 = 20

So the angle measures are 3 * 20 = 60 and 6 * 20 = 120. Then A is wrong; it should be "the value of x is 20".

3. Since the angles are complementary, they add up to 90. Then:

2x + (3x - 5) = 90

5x - 5 = 90

5x = 95

x = 95/5 = 19

So the two angles are 2 * 19 = 38 and 3 * 19 - 5 = 52. So B is wrong; it should be "the measure of the larger angle is 52°".

Answer 2

Answer:

A. B. The measure of the smaller angle is 35°

B. A. The value of x is 20°

C. B. The measure of the larger angle is 52°

Step-by-step explanation:

A. x + x - 20 = 90

2x = 110

x = 55°

x - 20 = 35°

B. 3x + 6x = 180

9x = 180

x = 20°

3x = 60

6x = 120

C. 2x + 3x - 5 = 90

5x = 95

x = 19°

2x = 38°

3x - 5 = 52°