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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
In Fig. 5.53, find the value of ∠BOC, if points A, O and B are collinear.
Solution:
Given, A, O and B are collinear.
We have to find the value of ∠BOC.
Since A, O and B are collinear, these points lie on a straight line.
We know that the sum of all angles lying on a straight line is equal to 180 degrees.
So, ∠AOD + ∠DOC + ∠COB = 180°
From the figure,
(x - 10) + (4x - 25) + (x + 5) = 180°
x + 4x + x - 10 - 25 + 5 = 180°
6x - 30° = 180°
6x = 180° + 30°
6x = 210°
x = 210°/6
x = 35°
Now, ∠BOC = x + 5
= 35° + 5°
= 40°
Therefore, ∠BOC = 40°.
✦ Try This: Find the measure of angle ∠ACD.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5
NCERT Exemplar Class 7 Maths Chapter 5 Problem 100
In Fig. 5.53, find the value of ∠BOC, if points A, O and B are collinear.
Summary:
In Fig. 5.53, the value of ∠BOC is 40°, if points A, O and B are collinear.
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