Question

In figure o is the centre of the circle and angle AOC =50 degree and angle COB = 30 degree . Find measure of angle ADB

Answer 1

The measure of angle ADB is 40°.

Explanation:

• Angle subtended by an arc at the center is double the angle subtended by it any point on the remaining part of circle.              (1)

In the given figure , O is the centre of the circle and ∠ AOC =50 °and ∠ COB = 30 °

Arc AB is subtending combined angle at the center O

∠AOB= ∠ AOC+∠ COB= 50°+30° =80°

To find :  measure of ∠ ADB

From (1) ∠AOB = 2∠ ADB

$\Rightarrow\ \angle{ADB}=\dfrac{1}{2}\angle{AOB}$

$\Rightarrow\ \angle{ADB}=\dfrac{1}{2}(80^{\circ})=40^{\circ}$

hence , the measure of angle ADB = 40°

# Learn more :

In the figure, o is the centre of the circle with angle aob is equal to 85 degree and Angle AOC is equal to 115 degree then find angle BAC

https://brainly.in/question/2906560

Answer 2

Answer:

40 °

Step-by-step explanation:

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. hope the pic helps