When two parallel lines are cut by a third line, co-interior angles are supplementary.
Co-interior are also called as consecutive interior angles.
Find the values of the variables in the following :
Problem 1 :
Solution :
y and 127 are cointerior angles are consecutive interior angles.
y + 127 = 180
Subtracting 127 on both sides.
y = 180 - 127
y = 53
Problem 2 :
Solution :
z and 70 are cointerior angles are consecutive interior angles.
z + 70 = 180
Subtracting 70 on both sides.
y = 180 - 70
y = 110
Problem 3 :
Solution :
g and 57 are cointerior angles are consecutive interior angles.
g + 57 = 180
Subtracting 57 on both sides.
g = 180 - 57
g = 123
Problem 4 :
Solution :
Since the opposite sides are parallel.
x + 72 = 180 x = 180 - 72 x = 108 |
y + 72 = 180 y = 180 - 72 y = 108 |
Problem 5 :
Solution :
19x - 2 + 42x - 1 = 180
61x - 3 = 180
Adding 3.
61x = 180 + 3
61x = 183
Dividing by 61 on both sides.
x = 183/61
x = 3
Problem 6 :
Solution :
4 + 16x + 80 = 180
16x + 84 = 180
Subtracting 84.
16x = 180 - 84
16x = 96
Dividing by 16 on both sides.
x = 96/16
x = 6
Problem 7 :
Solution :
97 + 15x + 8 = 180
15x + 105 = 180
Subtracting 105 on both sides.
15x = 180 - 105
15x = 75
Dividing by 15 on both sides.
x = 75/15
x = 5
May 21, 24 08:51 PM
May 21, 24 08:51 AM
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