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In Fig. 5.21, ∠AOC and ∠BOC form a pair of
a. vertically opposite angles
b. complementary angles
c. alternate interior angles
d. supplementary angles
Solution:
Given, the angles are ∠AOC and ∠BOC
We need to find the nature of the given angles.
Form the figure,
O is a point on the line AB.
We observe that ∠AOC and ∠ BOC lie on the same line.
We know that the linear pair of angles is always equal to 180 degrees.
So,∠AOC + ∠ BOC = 180°
When the sum of the measures of two angles is 180°, the angles are called supplementary angles.
Therefore, the angles ∠AOC and ∠ BOC are Supplementary.
✦ Try This: In the given figure, AOC is a line. Find the value of x.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5
NCERT Exemplar Class 7 Maths Chapter 5 Problem 25
In Fig. 5.21, ∠AOC and ∠BOC form a pair of: a. vertically opposite angles, b. complementary angles, c. alternate interior angles, d. supplementary angles
Summary:
∠AOC and ∠BOC form a pair of supplementary angles
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