Angles and Triangles

Angles and Triangles

Multiple Choice

Which side lengths can form a triangle?

• 4 inches, 8 inches, 13 inches

• 13 inches, 11 inches, 23 inches

• 5 inches, 18 inches, 12 inches

• 25 inches, 8 inches, 16 inches

Multiple Choice

Angle B is supplementary to Angle C.

The measure of Angle B is 75 degrees, what is the measure of Angle C?

• 15 degrees

• 25 degrees

• 95 degrees

• 105 degrees

Multiple Choice

Two lines intersect to form 4 angles. The measure of <1 is 55 degrees. 
Which statement is true?

• The measure of <2 is 35 degrees because angles 1 and 2 are complimentary.

• The measure of angle 2 is 125 because angles 1 and 2 are supplementary

• The measure of angle 4 is 55 degrees because angles 2 and 4 are vertical angles.

• The measure of < 4 is 35 degrees because angles 2 and 4 are vertical angles. 

Multiple Select

Which triangles are possible? Check all that apply.

• 3 inches, 4 inches, 5 inches

• 4 inches, 4 inches, 4 inches

• 5 inches, 5 inches, 10 inches

Multiple Choice

Can a Triangle have more than one right angle? Why?

• No, all three angles of a triangle must be less than 90 degrees.

• No, If one angle is 90 degrees, the other two angles must at to be 90 degrees and one of the angles cannot be 0 degrees.

• Yes, one of the remaining angles could measure 0 degrees.

• Yes, a triangle can have more than one right angle because the sum of the interior angles of a triangle measures 360 degrees.

Multiple Choice

What is the measure of angle 1?

• 35 degrees

• 45 degrees

• 95 degrees

• 105 degrees

Multiple Choice

What is the measure of the missing interior angle?

• 29

• 34

• 46

• 59

Multiple Choice

What set of angle measures can be used to form a triangle?

• 25, 30, 120

• 30, 60, 90

• 35, 55,100

• 40, 60, 75

Multiple Choice

Find the missing angle.

• 76

• 66

• 56

• 46

Multiple Choice

Can a triangle be made with the angle measures of 50 degrees, 130 degrees, and 150 degrees.

• Yes because the angles add up tp 360 degrees

• Yes because none of the angles is above 180.

• No because a triangle cannot contain 2 obtuse angles.

• It cannot be determined without more information about the lengths of the triangles sides.

Multiple Choice

If angles are complimentary, what is the sum of their measures?

• 180

• 100

• 90

• 45

Multiple Choice

A triangle has 3 angles that each measure 60 degrees. What can be said about the triangle?

• It must have side lengths of 6 inches each

• It must have side lengths of 3 inches each

• It could be any isosceles triangle

• It could be any equilateral triangle

Multiple Choice

What time on a clock would the minute and hour hands make a linear angle?

• 12:00

• 3:00

• 6:00

• 9:00

Multiple Choice

If angles G and H are supplementary and angle G measures 64 degrees, what does angle H measure?

• 64

• 26

• 54

• 116

Multiple Choice

If the measure of angle 4 is equivalent to (2x-7), what is the value of x?

• 90

• 57

• 32

• 20

Multiple Choice

What side lengths cannot be the sides of a triangle?

• 23cm, 17cm, 14 cm

• 11cm, 11cm, 12cm

• 5cm, 7cm, 8cm

• 21cm, 6cm, 10cm

Multiple Choice

What is the relationship between angles 1 and 3?

• adjacent

• complementary

• supplementary

• vertical

Multiple Choice

What conclusion can be drawn from the triangle?

• $<P\cong<R$

• $<P\cong<Q$

• $<R\cong<Q$

• No conclusion can be made about the angles