# Triangles Worksheet for Class 6

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

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˚

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˚