Question

प्रश्न-16 दी गई आकृति में 0 वृत्त का केन्द्र है। यदि ZBOD = 124° हो, तो Zx का मान ज्ञात कीजिए। 3
A
O
B
D
x
C​

Answer 1

Step-by-step explanation:

Given that:

दी गई आकृति में 0 वृत्त का केन्द्र है। यदि angle BOD = 124° हो, तो angle x का मान ज्ञात कीजिए

To find:

$\angle \: x$

Solution:

BD is a chord,which subtends 124° angle on the center of circle

Other remaining angle at O is

360°-124°=236°

(Complete angle is 360°)

As shown in attachment.

Thus,

$\angle \: BCD = \frac{236}{2} \\ \\ \angle \: BCD= 118°$

[If a chord subtends theta angle at center of circle,then it subtends half of theta in the remaining part of center]

Now,

BCE is a line.

Sum of all angles on a straight line is 180°

$\angle \: BCD + \angle \: x = 180° \\ \\ 118° + \angle \: x = 180° \\ \\ \angle \: x = 180° - 118° \\ \\ \angle \: x = 62°$

Thus,

$\bold{\angle \: x = 62°}$

Hope it helps you.

Answer 2

Answer:

∠x=62°

hope it helps you....