Class 7 Mathematics: Lines and Angles (Hard)

If two parallel lines are intersected by a transversal, and one of the interior angles on the same side of the transversal is 45°, then what is the value of the other interior angle on the same side?

In the given figure, if line 'l' || line 'm' and angle A = (2x + 10)° and angle B = (3x - 5)°, where angle A and B are consecutive interior angles, what is the value of x?

Which of the following statements is true for vertically opposite angles?

If the sum of two angles is 90° and they are in the ratio 2:3, what are the measures of these angles?

When two lines intersect, if one of the angles formed is a right angle, then all the other angles formed are also ____.

If a transversal intersects two parallel lines, then the alternate interior angles are ____.

The sum of the angles in a linear pair is always ____ degrees.

When two lines intersect at a point, they form four angles. The pairs of angles that are facing each other are called ____ opposite angles.

In the given figure, lines AB and CD intersect at O. If ∠AOC + ∠BOE = 70° and ∠BOD = 40°, find ∠BOE and the reflex ∠COE.

Two supplementary angles are such that one is 2/3 of the other. Find the measures of the angles.