Question

PLEASE HELP?? If arc AB = 70°, how many degrees are in ∠ ADB? A) 35° B) 50° C) 70° D) 110°

Answer 1

Answer:

∠ADB=35°

Step-by-step explanation:

Given arc AB = 70°.

we have to find the angle ∠ADB

Here, Angle subtended by arc AB at O is ∠AOB = 70°

By the theorem,

The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.

∴ ∠AOB=2(∠ADB)

⇒ $\angle ADB=\frac{1}{2}\angle AOB=\frac{1}{2}70^{\circ}= 35^{\circ}$

hence, angle subtended at the circumference is 35°