How many triangles can be drawn having its angles as 53°, 64° and 63°? Give reason for your answer.
How many triangles can be drawn having its angles as 45°, 64° and 72°? Give reason for your answer.
A transversal intersects two lines in such a way that the two interior angles on the same side of the transversal are equal. Will the two lines always be parallel? Give reason for your answer.
Let OA, OB, OC and OD are rays in the anticlockwise direction such that ∠ AOB = ∠COD = 100°, ∠BOC = 82° and ∠AOD = 78°. Is it true to say that AOC and BOD are lines?
Angles of a triangle are in the ratio 2 : 4 : 3. The smallest angle of the triangle is
(A) 60° (B) 40° (C) 80° (D) 20°
If one of the angles of a triangle is 130°, then the angle between the bisectors of the other two angles can be
(A) 50° (B) 65° (C) 145° (D) 155°
The angles of a triangle are in the ratio 5 : 3 : 7. The triangle is
(A) an acute angled triangle (B) an obtuse angled triangle
(C) a right triangle (D) an isosceles triangle