In Fig. 5.50, OB is perpendicular to OA and ∠BOC = 49°. Find ∠AOD.
Solution:
Given, OB is perpendicular to OA
Also, ∠BOC = 49°
We have to find the measure of ∠AOD.
We know that the sum of a linear pair of angles is always equal to 180 degrees.
So, ∠DOB + ∠BOC = 180°
From the figure,
49° + ∠DOB = 180°
∠DOB = 180° - 49°
∠DOB = 131°
We know that the sum of all angles around a point is equal to 360 degrees.
∠DOB + ∠BOA + ∠AOD = 360°
131° + 90° + ∠AOD = 360°
221° + ∠AOD = 360°
∠AOD = 360° - 221°
Therefore, ∠AOD = 139°
✦ Try This: In the figure given above, l∥m. Find the values of a.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5
NCERT Exemplar Class 7 Maths Chapter 5 Problem 93
In Fig. 5.50, OB is perpendicular to OA and ∠BOC = 49°. Find ∠AOD.
Summary:
In Fig. 5.50, OB is perpendicular to OA and ∠BOC = 49°. The measure of ∠AOD is 139°.
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