Question

In circle A, mBEC is 290º.

What is the measure of ∠BAC ?

70º

130º

170º

360º

Answer 1

You just subract the given degree from 360 and get 70 degrees.

Answer 2

Option A is correct.

70 degree

Explanation:

In a given circle A:

`m\angle BEC =290^(\circ)`

To find the measure of
`\angle BAC`.

We know that a complete circle is of 360 degree

`\angle BEC + \angle BAC = 360^(\circ)`

Substitute the given values we have;

`290^(\circ)+ \angle BAC = 360^(\circ)`

Subtract 290° from both sides we get;

`\angle BAC = 360^(\circ)-290^(\circ)`

Simplify:

`\angle BAC = 70^(\circ)`

Therefore, the measure of
`\angle BAC` is, 70 degree