Question

Find the measure of the obtuse angle, v.
x = [?] degrees
245 degrees and an V.

Answer 1

To find the measure of the obtuse angle \( v \), we first need to determine the relationship between the angles mentioned.

Given that \( x \) is an angle, and we know that the total measure of angles around a point is \( 360 \) degrees, we can express this as:

\[
x + v = 360^\circ
\]

If \( v \) is to be the obtuse angle, it must be greater than \( 90^\circ \) but less than \( 180^\circ \).

Also, from your mention of \( 245 \) degrees, we recognize that it could be related as follows:

- If a straight line forms \( 180 \) degrees, the supplementary angle is calculated as \( 360 - 245 \) degrees.

Calculating that gives:

\[
360^\circ - 245^\circ = 115^\circ
\]

Since \( 115^\circ \) is indeed an obtuse angle (between \( 90^\circ \) and \( 180^\circ \)), it is a valid candidate for \( v \).

To summarize, we can conclude:

The measure of the obtuse angle \( v \) is:

\[
v = 115^\circ
\]

Thus, the value of \( x \) must be:

\[
x = 360^\circ - v = 360^\circ - 115^\circ = 245^\circ
\]

So, the measures are:
- \( v = 115^\circ \)
- \( x = 245^\circ \)

In conclusion, the measure of the obtuse angle \( v \) is \( \boxed{115} \) degrees.