The measure of the unknown angles are as listed:
- m∠3 = 85degrees
- m∠4 = 85degrees
- m∠6 = 36degrees
- m∠5 = 144degrees
- m∠7 = 59degrees
Given the following parameters:
Since the sum of angle on a straight line is 180 degrees, hence;
m∠1 +m∠3 = 180
95 + m∠3 = 180
m∠3 = 180 - 95
m∠3 = 85degrees
- From the diagram, m∠3 = m∠4 = 85 degrees (vertical angles)
- Similarly, m∠6 = m∠2 = 36degrees (vertical angles)
The sum of angle on a straight line is 180 degrees, hence;
m∠2 +m∠5 = 180
36 + m∠5= 180
m∠5 = 180 - 36
m∠5 = 144degrees
Taking the sum of the interior angle of the triangle BEF;
m∠4 + m∠6 + m∠7 = 180
85 + 36 + m∠7 = 180
121 + m∠7 = 180
m∠7 = 180 - 121
m∠7 = 59degrees
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