Adjacent and Opposite Angles

Adjacent angle:

Two angles having a general side and general vertex of that angle is adjacent angles. In adjacent angle, angle that forces never meets. The adj is the short form of the adjacent angle.

Opposite angle:

Intersect two line is framed by four angle.The angles are straightly opposite to other angle is known as opposite angle. The opposite angle is also known as vertically opposite angels.

In this article we see in detail about adjacent and opposite angles.

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Example 1: Adjacent and Opposite Angles:

Following diagram to find the unknown angle a, b , c

example problem for adjacent and opposites angles

Solution:

In this problem given angle is the EFG = 114 degree

Given angle is EOF

Unknown angle is FOG, GOH and HOE

In this diagram angle EOF and angle GOH is equal, since it is opposite angle, written as EOF = GOH

Therefore

Angle EOF = 114

Angle GOH = 114

Angle dimension is 180 degree

EOF+FOG=180

114+c=180

c=180-114

c=66

Angle c and angle a is opposite angle so a=66.

Answer is:

a=66

b=114

c=66
Example 2: Adjacent and Opposite Angles:

Following diagram to find the unknown angle a, b , c

example problem for adjacent and opposite angles

Solution:

In this problem given angle is the EFG = 101 degree

Given angle the angles EOF.

Unknown angle is FOG, GOH and HOE

In this diagram angle EOF and angle GOH is equal since they are opposite angles, written as EOF = GOH

Therefore

Angle EOF = 101

Angle GOH = 101

Angle dimension is 180 degree

EOF+FOG=180

101+c=180

c=180-101

c=79

Angle c and angle a is opposite angle so a=79.

Answer is:

a=79

b=101

c=79

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Example 3: Adjacent and Opposite Angles:

Given complementary angle, angle E is the 74 degree, find the unknown adjacent angle

example for adjacent and opposites angles

Solution:

In complementary angle measurement of the angle is 90 degree

Given the value of angle is 74°

Subtracting form angle measurement of the complementary angle and given angle

90° – 74° = 16°

Answer for this problem is 16 degree.
Example 4: Adjacent and Opposite Angles:

Given complementary angle, angle E is the 71 degree, find the unknown adjacent angle

example for adjacent and opposites angles

Solution:

In complementary angle measurement of the angle is 90 degree

Given the value of angle are 71°

Subtracting form angle measurement of the complementary angle and given angle

90° – 71° = 19°

Answer for this problem is 19 degree.