Triangles Worksheet for Class 6

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˚

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