NCERT solutions for Mathematics [English] Class 7 chapter 5 - Lines and Angles [Latest edition]

Find the complement of the following angle:

Find the complement of the following angle:

Find the complement of the following angle:

Find the supplement of the following angle:

Find the supplement of the following angle:

Find the supplement of the following angle:

Identify the given pair of angles are complementary or supplementary.

65°, 115°

Identify the given pair of angles are complementary or supplementary.

63°, 27°

Identify the given pair of angles are complementary or supplementary.

112°, 68°

Identify the given pair of angles are complementary or supplementary.

130°, 50°

Identify the given pair of angles are complementary or supplementary.

45°, 45°

Identify the given pair of angles are complementary or supplementary.

80°, 10°

Find the angle which is equal to its complement.

Find the angle which is equal to its supplement.

In the given figure, ∠1 and ∠2 are supplementary angles.

If ∠1 is decreased, what changes should take place in ∠2 so that both the angles still remain supplementary.

Can two angles be supplementary if both of them are acute?

Can two angles be supplementary if both of them are obtuse?

Can two angles be supplementary if both of them are right?

An angle is greater than 45°. Is its complementary angle greater than 45° or equal to 45° or less than 45°?

If two angles are complementary, then the sum of their measures is _______.

If two angles are supplementary, then the sum of their measures is _______.

If two adjacent angles are supplementary, they form a _______.

In the adjoining figure, name the following pairs of angles.

1. Obtuse vertically opposite angles
2. Adjacent complementary angles
3. Equal supplementary angles
4. Unequal supplementary angles
5. Adjacent angles that do not form a linear pair

State the property that is used in each of the following statements?

1. If a || b, then ∠1 = ∠5.
2. If ∠4 = ∠6, then a || b.
3. If ∠4 + ∠5 = 180°, then a || b.

In the adjoining figure, identify:

1. The pairs of corresponding angles.
2. The pairs of alternate interior angles.
3. The pairs of interior angles on the same side of the transversal.
4. The vertically opposite angles.

In the adjoining figure, p || q. Find the unknown angles.

Find the value of x in the following figures if l || m.

Find the value of x in the following figure if l || m.

In the given figure, the arms of two angles are parallel.

If ∠ABC = 70°, then find

1. ∠DGC
2. ∠DEF

In the given figure below, decide whether l is parallel to m.

In the given figure below, decide whether l is parallel to m.

In the given figure below, decide whether l is parallel to m.

In the given figure below, decide whether l is parallel to m.