In Fig. 5.5, the points A, O and B are collinear. Ray OC ⊥ ray OD. Check whether ∠AOC and ∠BOC are supplementary
Solution:
Given, the points A, O and B are collinear.
Ray OC ⊥ ray OD
We have to determine if ∠AOC and ∠BOC are supplementary.
From the figure,
∠DOC = 90°
∠AOD = A°
∠BOC = 3a°
O is a point that lies on the line AB.
Considering ray OC,
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, ∠AOC and ∠BOC are supplementary.
✦ Try This: Find the value of x in the given figure.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5
NCERT Exemplar Class 7 Maths Chapter 5 Sample Problem 14 (ii)
In Fig. 5.5, the points A, O and B are collinear. Ray OC ⊥ ray OD. Check whether ∠AOC and ∠BOC are supplementary
Summary:
In Fig. 5.5, the points A, O and B are collinear. Ray OC ⊥ ray OD. ∠AOC and ∠BOC are supplementary as they are equal to 180 degrees
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