ILL GIVE EXTRA POINTS IF I CAN PLEASE HELP!!! <3

central angles and arc measures.

what is mUWV?

on the outside there is T, V and U. on the inside there is a W. on the inside there is also 13x-36 degrees, 4x+93 degrees, 8x-47 degrees.

ILL GIVE EXTRA POINTS IF I CAN PLEASE HELP lt3 central angles and arc measures what is mUWV on the outside there is T V and U on the inside there is a W on the class=


Answer :

Answer:

Step-by-step explanation:

Given:

On the outside of the circle, we have points T, V, and U.

Inside the circle, there is point W.

The central angles are as follows:

(m \angle TWV = 13x - 36^\circ)

(m \angle VWU = 4x + 93^\circ)

(m \angle UWT = 8x - 47^\circ)

We know that the sum of the central angles around a point (in this case, point W) is (360^\circ). Therefore: [m \angle TWV + m \angle VWU + m \angle UWT = 360^\circ]

Substitute the given expressions for the angles: [13x - 36 + 4x + 93 + 8x - 47 = 360]

Combine like terms: [25x + 10 = 360] [25x = 350] [x = 14]

Now let’s find (m \angle VWU): [m \angle VWU = 4x + 93 = 4(14) + 93 = 149^\circ]

Therefore, the measure of angle (m \angle UWV) is 149 degrees.