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Triangles

Total questions: 8

Worksheet time: 2hrs 0mins

Name
Class
Date
1.

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)

12 degrees

b)

15 degrees

c)

20 degrees

d)

30 degrees

e)

45 degrees

2.

If the measure of angle A of triangle ABC is 5x + 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 and scalene.

c)

Triangle ABC is obtuse but not scalene

d)

Triangle ABC is obtuse and scalene.

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

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)

110

d)

125

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.

6.

use this diagram, . Which of the following number sentences is NOT true?

a)

angle 1 + angle 2 = angle 5

b)

angle 4 + angle 1 = angle 3 + angle 6

c)

angle 3 + angle 2 = angle 4

d)

angle 1 + angle 2 + angle 3 = 180

e)

angle 4 + angle 5 + angle 6 = 360

7.

7. If angle 6 measures 115° and angle 2 measures 75°, what is the measure of angle 4?

(a)  

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