Two angles which have same vertex and share a common arm are called adjacent angles.
∠PAQ and ∠QAR are adjacent angles.
Adjacent at a point :
The sum of the sizes of the angles at a point is 360 degree
Adjacent angles on a straight line :
The sum of sizes of the angles on a line is 180 degree. The angles are supplementary.
Find the unknown values of the following.
Problem 1 :
Solution :
90 + d + 140 = 360
230 + d = 360
Subtracting 230, we get
d = 360 - 230
d = 130
Problem 2 :
Solution :
2g + 3g + 90 = 360
5g + 90 = 360
5g = 360 - 90
5g = 270
g = 270/5
g = 54
Problem 3 :
Solution :
e + e + e = 360
3e = 360
Dividing by 3, we get
e = 360/3
e = 120
Problem 4 :
Solution :
x + 30 + 2x + 15 = 180
3x + 45 = 180
3x = 180 - 45
3x = 135
x = 135/3
x = 45
Problem 5 :
Solution :
2x + 5 + 15x = 90
17x + 5 = 90
Subtracting 5, we get
17x = 90 - 5
17x = 85
Dividing by 17, we get
x = 85/17
x = 5
Problem 6 :
Solution :
3x + 67 + x - 31 + 3x + 30 = 360
7x + 67 + 30 - 31 = 360
7x + 66 = 360
7x = 360 - 66
7x = 294
x = 294/7
x = 42
May 21, 24 08:51 PM
May 21, 24 08:51 AM
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