Solve this problem Please ignore the pen lines Q iii In the figure, AB is the diameter - Maths - Circles

Question

Solve this problem Please ignore the pen lines
Q iii In the figure, AB is the diameter of circle with centre of O
If ∠ A E D = 120 ° , find ∠ B C D

Anuradha Sharma · Accepted Answer

Hi,
<img src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5a0ac680ba6cb%20png">

We know that angle in semicrcle are 90 degree so angle ADB = 90 degreealso in cyclic quadrilateral ABDE, angle ABD+angle AED = 180 Property of ccyclic quadrilateral that opposite angle's sum is 180so angle ABD = 180 - 120 = 60 degreenow in triangle ADB, angle DAB +angle ABD+angle ADB  = 180 so angle DAB = 180 - 90 -60 = 30 degreealso DABC is a cyclic quadrilaletral so angle DAB+angle BCD = 180 so angle BCD = 180-30 = 150 degree

Solve this problem. Please ignore the pen lines. Q.iii. In the figure, AB is the diameter of circle with centre of O. If ∠ A E D = 120 ° , find ∠ B C D .

Solve this problem. Please ignore the pen lines.
Q.iii. In the figure, AB is the diameter of circle with centre of O. If $∠ A E D = 120 °$ , find $∠ B C D$ .