Question
AB is the diameter of a circle centered at O. A tangent
drawn at point C intersects the extension of AB at point D. If ∠CAB = 38°, find the value of ∠CDB.Solution
ATQ,
Angle made by the diameter of a circle on the arc of the circle is 90°, i.e. ∠ACB = 90°.
Sum of all angles in a triangle is 180°.
So, ∠CAB + ∠CBA + ∠ACB = 180°
Or, 38° + ∠CBA + 90° = 180°
Or, ∠CBA = 180° - 128°
Or, ∠CBA = 52°
Now, ∠CBA + ∠CDB = 180°
(Linear pair of angles)
So, ∠CDB = 180 - 52 = 128°
The 2nd phase of 36 ‘Saansad Khel Mahakumbh 2022-23’ has been inaugurated in which district of the state Uttar Pradesh?
Who built the famous Hawa Mahal in Jaipur?
As of December 2022, which district has the maximum number of women milk committees in Uttrakhand?
In which Indian state can the Sangai Deer be found?
Which of the following pairs (Ramsar site - state) is/are correctly matched?
I) Karaivetti Bird Sanctuary - Tamil Nadu
II) Magadi Kere Con...
Name the team which won the Hockey World League 2017 hosted by India
Recently USA and South Korea conducted their largest ever joint aerial drill called
Where in India the famous Bakhira Wildlife Sanctuary is situated?
A treaty signed by which of the following two countries for transfer of each other’s sentenced prisoners has come into effect with the ratification o...
What is the official currency of Bangladesh?
Relevant for Exams:
