For what value of x + y in Fig. 6.4 will ABC be a line? Justify your answer
Solution:
We have to find the value of x + y for which ABC will be a line.
We know that if the sum of two adjacent angles is 180°, then a ray stands on a line.
For ABC to be a line,
∠ABD + ∠DBC = 180°
x + y = 180°
Therefore, the value of x + y must be equal to 180°.
✦ Try This: Can two right angles be supplementary?
We have to determine if two right angles can be supplementary.
A right angle is an angle whose measure is exactly equal to 90 degrees.
Two angles are said to be supplementary if the sum of angles is equal to 180 degrees.
Sum of two right angles = 90° + 90°
= 180°
Therefore, two right angles can be supplementary.
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 6
NCERT Exemplar Class 9 Maths Exercise 6.2 Problem 1
For what value of x + y in Fig. 6.4 will ABC be a line? Justify your answer
Summary:
A linear pair is a pair of adjacent angles formed when two lines intersect. The value of x + y must be equal to 180° so that ABC will be a line
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