Question

Gmm

2
#x²
13
O
1
2
ABC
3
5x+2
3x + 40
Find the measure of angle 2.
label optional
1
2 3 4
5 6 78 9
XY Z<
7
VI
Xi
+
8
=
V

Answer 1

Answer:
`\angle 2=83^(\circ)`

Explanation:

By the alternate interior angles theorem,

`5x+2=3x+40\\\\2x=38\\\\x=19`

This means that
`5x+2=3x+40=97`.

Since
`\angle 2` and the
`97^(\circ)` form a linear pair, they add to 180 degrees. So,
`\angle 2=83^(\circ)`