University:
Bradley University
Course:
MTH 112 | Precalculus
Academic year:

2023
Views:

158

Pages:

2
Author:

Remington Spence

1. If the measure of angle A of triangle ABC is 3x, the measure of angle B is 5x, and the measure of angle C is 4x, what is the value of x? a. 10° b. 15° c. 30° d. 40° e. 45° 3x + 5x + 4x = 180 12x = 180 x = 15 2. If the measure of angle A of triangle ABC is 15x+10, the measure of angle B is x+10, and the measure of angle C is 2x, which of the following is true of triangle ABC? a. Triangle ABC is acute and scalene. b. Triangle ABC is acute but not scalene. c. Triangle ABC is right but not isosceles. d. Triangle ABC is obtuse but not scalene. e. Triangle ABC is obtuse and scalene. 5x+10+x+10+2x=180 8x+20=180 8x=160 x=20 3. The measure of an angle exterior to angle F of triangle DEF measures 16x+12. If angle F measures 8x, what is the measure of angle F? a. 7° b. 49° c. 56° d. 102° e. 124° 16x+12+8x=180 24x+12=180 24x=168 x=7 4. If the measures of angles A and B of triangle ABC are each 2x+5 and the measure of angle C is 3x-5, what is the measure of angle exterior to angle A? a. 25° b. 55° c. 70° d. 110° e. 125° 2x+5+2x+5+3x-5=180 7x+5=180 7x=115 x=25 5. The measure of an angle exterior to angle F of triangle DEF measures 120°. Which of the following must be true? a. Triangle DEF is obtuse. b. Triangle DEF is acute. c. Triangle DEF is equilateral. d. Triangle DEF is scalene. e. Triangle DEF is not isosceles. 6. Which of the following number sentences is NOT true? a. angle 1 + angle 2 = angle 3 b. angle 4 + angle 1 = angle 3 + angle 6 c. angle 3 + angle 2 = angle 1 d. angle 1 + angle 2 + angle 3 = 180 e. angle 4 + angle 5 + angle 6 = 360 7. If angle 6 measures 115° and angle 2 measures 75°, what is the measure of angle 4? a. 75° b. 105° c. 115° d. 140° e. 190° 115 - 75 = 40 8. If angle 4 measures 7x + 2, angle 5 measures 8x, and angle 6 measures 8x-10, what is the measure of angle 1? a. 52° b. 62° c. 66° d. 114° e. 118° 7x+2+8x+8x-10=360 23x-8=360 23x=368 x=16 angle 4 = 7(16) + 2 = 114 angle 1 = 180 - 114 = 66 10. If the measure of angle F in triangle DEF is half the sum of the measures of angles D and E, what is the measure of an angle exterior to F? a. 30° b. 60° c. 90° d. 120° e. cannot be determined (D + E) + 1/2(D + E) = 180 3/2(D + E) = 180 D + E = 360/3 = 120 x + x = 120 2x = 120 x = 60 1. In the triangle above, what is the value of x? 3x - 40 = x + 4 2x = 44 x = 22 4. In the figure above, AC ⊥ BC. What is the measure of ∠ABC? A) 50 B) 55 C) 60 D) 65 a - b = 50

What is the Measure of Angle C 25° 30° 60° 75°

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