Given: Hole centrelines
a.
b.
(a)
The values of angles
Answer to Problem 16A
The values of angles are
Explanation of Solution
Given:
The given value of angles is
The following figure is given
The angles
Now, angle 6 and angle 5 together make a straight line. The angle of straight line is 180o. Thus, the value of angle 5 can be calculated as
The angles
The two lines AB and CD are parallel; hence the corresponding angles will be equal. Hence,
The two lines EF and GH are also parallel; hence the corresponding angles will be equal. Hence,
The two lines AB and CD are parallel; hence the corresponding angles will be equal. Hence,
Now, angle 25 and angle 21 together make a straight line. The angle of straight line is 180o. Thus, the value of angle 21 can be calculated as
The angle 21 and 22 are corresponding angles, thus, the value of angle 22 is
The angles 22 and 19 are interior alternate angles for the parallel lines AB and CD. The alternate angles are equal.
The value of angle 14 can be calculated by subtracting the value of angle 24 from the angle 15.
The lines AB, KH and IJ make a triangle. The sum of internal angles of a triangle is 180o.
Now,
Angle 20 and angle 17 are opposite angles.
(b)
The values of angles
Answer to Problem 16A
The values of angles are
Explanation of Solution
Given:
The given value of angles is
The following figure is given
The angles
Now, angle 6 and angle 5 together make a straight line. The angle of straight line is 180o. Thus, the value of angle 5 can be calculated as
The angles
The two lines AB and CD are parallel; hence the corresponding angles will be equal. Hence,
The two lines EF and GH are also parallel; hence the corresponding angles will be equal. Hence,
The two lines AB and CD are parallel; hence the corresponding angles will be equal. Hence,
Now, angle 25 and angle 21 together make a straight line. The angle of straight line is 180o. Thus, the value of angle 21 can be calculated as
The angle 21 and 22 are corresponding angles, thus, the value of angle 22 is
The angles 22 and 19 are interior alternate angles for the parallel lines AB and CD. The alternate angles are equal.
The value of angle 14 can be calculated by subtracting the value of angle 24 from the angle 15.
The lines AB, KH and IJ make a triangle. The sum of internal angles of a triangle is 180o.
Now,
Angle 20 and angle 17 are opposite angles.
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Chapter 50 Solutions
Mathematics for Machine Technology
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