Question

What does mBAD = ?I need a response fast

Answer 1

The measure of angle BAD = 70 degree

In the quadrilateral
`$ABCD$`, we have:

`* $\angle CBD = 140^\circ$ (given)* $\angle BAD = x$ (what we need to find)* $\angle ADC = 90^\circ$ (since $AD$ is a diameter of the circle)* $\angle ABC = 90^\circ$ (since $BC$ is a diameter of the circle)`

Therefore, we can write the equation:

`$m\angle ABC + m\angle BAD + m\angle ADC + m\angle CBD = 360^\circ$`

Substituting the known values, we get:

`$90^\circ + x + 90^\circ + 140^\circ = 360^\circ$\\`

Combining like terms, we get:

`$2x + 220^\circ = 360^\circ$`

Subtracting
`$220^\circ$`from both sides, we get:

`$2x = 140^\circ$`

Dividing both sides by
`$2$`, we get:

`$x = 70^\circ$`

Therefore, the measure of angle BAD = 70 degree

So the answer to the question is:
`$m\angle BAD = 70^\circ$.`