Answer:
m = 123°
k = 57°
h = 123°
p = 99°
q = 81°
f = 99°
g = 81°
s = 42°
r = 57°
u = 57°
v = 123°
Step-by-step explanation:
Using basic angle relationships, we should be able to tell these angles easily.
If the 57° is supplementary to m, then m will be [tex]180 - 57 = 123[/tex] degrees.
k is also supplementary to m, so k is [tex]180-123=57[/tex] degrees - we also know this because it is an alternate interior angle to the other 57°.
h is an alternate interior angle to m, so h is the measure of m : 123°.
q is the same measure as the 81° angle, since they are corresponding angles. q is also 81°.
p is supplementary to q, so p is [tex]180-81=99[/tex] degrees.
f is an alternate interior angle to p, so f is also 99°.
g is also an alternate interior angle to q, so g is 81°.
The measure of s will be [tex]180-k-g[/tex] since all 3 sides of a triangle add up to 180°: so [tex]180-57-81=42[/tex] degrees.
r will be supplementary to the 81° angle and s, 42, so r is [tex]180 - 81 - 42=57[/tex] degrees.
u is an alternate interior angle to r, so u is also 57 degrees.
v is supplementary to u, so v will be [tex]180-57=123[/tex] degrees.
Hope this helped!
