Question : In the given circle with diameter AB, find the value of x.
Option 1: 40°
Option 2: 20°
Option 3: 30°
Option 4: 50°
Answer (1)
22nd Jan, 2024
Correct Answer: 40°
Solution :
$\angle ABD = \angle ACD = 50º$ [Angles in the same segment]
In triangle ABD, by angle sum property we have
The angle in a semicircle is a right angle.
⇒ x + 50° + 90° = 180°
⇒ x = 180° – 140°
⇒ x = 40°
Hence, the correct answer is 40°.
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