Question

what is x? I solved it but got a really long line of decimals, so I'm not sure if I solved it right, it's attached below.

Answer 1

m∠2 = 137°

Step-by-step explanation

By the angles of intersecting chords theorem, we have,

`m\angle2=(1)/(2)(mVW+mZX)`

We don't know the measure of these two arcs, but we do know the measures of arcs VX and WZ. The sum of all the measures of consecutive arcs is 360°, so,

`mVW+mWZ+mZX+mVX=360`

Group them,

`(mVW+mZX)+(mWZ+mVX)=360`

Solve for (mVW+mZX),

`(mVW+mZX)=360-\left(mWZ+mVX\right)`

Replace the known values,

`(mVW+mZX)=360-(38+48)=360-86=274`

Finally,

Hence, the measure of angle 2 is 137°.