Answer:
a=1.29 approx
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
The angle where chords cross is the average of the intercepted arcs. Here, that is ...
(37° +46°)/2 = (83°)/2 = 41.5°
Angle SUT is 41.5°.
_____
<em>Comment on the error</em>
The measure of an arc cannot be arbitrarily said to be the same as the angle where the chords cross. It will be the same if (a) the chords cross at the circle center, or (b) the opposite intercepted arc has the same measure. Neither of these conditions hold here.
1)

2)

Here, the variable

can assume any value, and usually an inequality presented like this has

as a stand-in for all real numbers. If we really wanted to make that fact clear, we could write the two inequalities like this:

Formally, you'd read

as "

is an element of the set of real numbers," which is a fancy way of saying that

can be any real number.