Question

What is mbd? 154 112 168 126

What's MBD

Answer 1

exterior angle theorem
(mAE - mBD)/2 = m<C

let's make mBD = x
(140-x)/2 = 14
70 - x/2 = 14
70 - 14 = x/2
56 = x/2
2*56 = x
112 = x

Answer 2

The correct option is B. 112°

Explanation:

In the given figure : m∠C = 14° and measure of arc AE = 140°

Now, we need to find the measure of arc BD

So, To find the required arc measure :

Using the exterior angles theorem of a circle : The angle formed in the exterior to the circle by the major and minor arcs is twice the difference of two arc measures

⇒ 2 × m∠C = measure of major arc AE - measure of minor arc BD

⇒ 2 × 14 = 140 - measure of minor arc BD

⇒ Measure of minor arc BD = 140 - 28

⇒ Measure of minor arc BD = 112°

Therefore, The correct option is B. 112°