Match the following items. if ∠adb = 70°, then 1. m∠abd      = 140 2. m (ab        = 20 3. m (ad          = 40

1. ∠ABD = 20°.

2.  Arc AB =  140°.

3.  Arc AD =  40°.

Step-by-step explanation:

Given information: ∠ADB = 70°. BD is diameter.

According to Central angle theorem, the central angle from two chosen points A and B on the circle is always twice the inscribed angle from those two points.

By Central angle theorem,

Using angle sum of property in triangle ADB we get,

.

Draw a line segment AO.

In triangle AOD, AO=OD, so

Using angle sum property in triangle AOD,

Therefore length of arc AD is 40°.

The angle AOD and AOB are supplementary angles.

Therefore length of arc AB is 140°.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: