**Please check Solutions of Triangles Worksheet for Class 6 at the end of the questions.**

**Download Whole numbers Class 6 Worksheet**

**1. The measures of two angles of a triangle are 58˚ and 47˚ . Find the measure of the third angle.**

a) 83˚

b) 92˚

c) 75˚

d) 68˚

**2. If one of the angles of a triangle is 70 ˚ and the other two angles are equal , then find the measure of each of these equal angles?**

a) 60˚ each

b) 55˚ each

c) 50˚ each

d) 65˚ each

**3. If one of three acute angles of a right triangle is 48˚ . Find the other acute angle. **

a) 54˚

b) 42˚

c) 32˚

d) 47˚

**4. If one of three acute angles of a right triangle is 60˚ . Find the other acute angle. **

a) 42˚

b) 20˚

c) 30˚

d) 35˚

### Triangles Worksheet for Class 6 Solutions

**Triangles Worksheet for Class 6 – Solution 1**

Given:

Ist angle = 58˚

IInd angle = 47˚

IIIrd angle = ?

Let, IIIrd angle = a

Then, According to angle sum property of triangle

Ist angle + IInd angle + IIIrd angle = 180˚

58˚ + 47˚ + a = 180˚

105˚ + a = 180˚

a = 180˚ – 105˚

a = 75˚

Then, IIIrd angle = 75˚

Hence, the measure of third angle is 75˚

**Correct Answer – c) 75˚**

**Triangles Worksheet for Class 6 – Solution 2**

Given:

Ist angle = 70˚

IInd angle = ?

IIIrd angle = ?

Let, IInd angle = a

IIIrd angle = a

Then, According to angle sum property of the Triangle

Ist angle + IInd angle + IIIrd angle = 180˚

70 + a + a = 180˚

70˚ + 2a = 180˚

2a = 180˚ – 70˚

2a = 110˚

a = 55˚

Then, IInd angle = 55˚

IIIrd angle = 55˚

Hence, the measure of the each of these equal angle is 55˚

**Correct Answer – b) 55˚ each**

**Triangles Worksheet for Class 6 – Solution 3**

Given:

Ist angle = 48˚

Iind angle = 90˚ (Since, One of the angle of Right triangle is 90 ˚)

IIIrd angle = ?

Let, IIIrd angle = a

Then, According to angle sum property of triangle

Ist angle + Iind angle + IIIrd angle = 180 ˚

48˚ + 90˚ + a = 180˚

138˚ + a = 180˚

a = 180˚ – 138˚

a = 42˚

Then, IIIrd angle = 42˚

Hence, the measure of other acute angle is 42˚

**Correct Answer – b) 42˚**

**Triangles Worksheet for Class 6 – Solution 4**

Given:

Ist angle = 60˚

Iind angle = 90˚ (Since, One of the angle of Right triangle is 90 ˚)

IIIrd angle = ?

Let, IIIrd angle = a

Then, According to angle sum property of triangle

Ist angle + Iind angle + IIIrd angle = 180 ˚

60˚ + 90˚ + a = 180˚

150˚ + a = 180˚

a = 180˚ – 150˚

a = 30˚

Then, IIIrd angle = 30˚

Hence, the measure of other acute angle is 30˚

**Correct Answer – c) 30˚**