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A Tale of Three Intersecting Lines Practice 2: Angle Sum and Exterior Angle and Side Length Relationships

Concept Check

Question 1mcq
Two angles of a triangle are 45∘45^\circ and 50∘50^\circ. What is the third angle?
A.85∘85^\circ
B.95∘95^\circ
C.105∘105^\circ
D.5∘5^\circ
Question 2mcq
Two angles of a triangle are 45∘45^\circ and 55∘55^\circ. What is the third angle?
A.100∘100^\circ
B.80∘80^\circ
C.110∘110^\circ
D.10∘10^\circ
Question 3mcq
Two angles of a triangle are 45∘45^\circ and 60∘60^\circ. What is the third angle?
A.105∘105^\circ
B.115∘115^\circ
C.75∘75^\circ
D.15∘15^\circ
Question 4mcq
Two angles of a triangle are 46∘46^\circ and 50∘50^\circ. What is the third angle?
A.96∘96^\circ
B.106∘106^\circ
C.84∘84^\circ
D.6∘6^\circ
Question 5mcq
Two angles of a triangle are 46∘46^\circ and 55∘55^\circ. What is the third angle?
A.101∘101^\circ
B.111∘111^\circ
C.11∘11^\circ
D.79∘79^\circ
Question 6mcq
Two angles of a triangle are 46∘46^\circ and 60∘60^\circ. What is the third angle?
A.74∘74^\circ
B.106∘106^\circ
C.116∘116^\circ
D.16∘16^\circ

Apply and Solve

Question 7mcq
Two sides of a triangle are 3 cm and 8 cm. What must be true about the third side?
A.greater than 5 cm and less than 11 cm
B.greater than 11 cm
C.less than 5 cm
D.exactly 11 cm
Question 8mcq
Two sides of a triangle are 4 cm and 8 cm. What must be true about the third side?
A.greater than 12 cm
B.greater than 4 cm and less than 12 cm
C.less than 4 cm
D.exactly 12 cm
Question 9mcq
Two sides of a triangle are 5 cm and 8 cm. What must be true about the third side?
A.greater than 13 cm
B.less than 3 cm
C.greater than 3 cm and less than 13 cm
D.exactly 13 cm
Question 10mcq
Two sides of a triangle are 3 cm and 5 cm. What must be true about the third side?
A.greater than 8 cm
B.less than 2 cm
C.greater than 2 cm and less than 8 cm
D.exactly 8 cm
Question 11mcq
Two sides of a triangle are 4 cm and 5 cm. What must be true about the third side?
A.greater than 9 cm
B.less than 1 cm
C.exactly 9 cm
D.greater than 1 cm and less than 9 cm
Question 12mcq
Two sides of a triangle are 5 cm and 5 cm. What must be true about the third side?
A.greater than 0 cm and less than 10 cm
B.greater than 10 cm
C.less than 0 cm
D.exactly 10 cm