Properties of Triangles - Problems with Solutions

Problem 1
Can 30cm, 40cm, 80cm be the sides of a triangle?
Allowed answers: yes, no.
Problem 2
Can 70cm, 60cm, 100cm be the sides of a triangle? Allowed answers: yes, no.
Problem 3
Can 30°, 40° and 100° be the angles of a triangle?
Allowed answers: yes, no.
Problem 4
Can 20°, 60° and 95° be the angles of a triangle?
Allowed answers: yes, no.
Problem 5
Can 50°, 53° and 77° be the angles of a triangle?
Allowed answers: yes, no.
Problem 6 sent by Lahari
Two of the angles of a triangle are 31° and 60°. Find the third angle.
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