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Musya8 [376]
3 years ago
9

PLEAE HELP ME OUT HURRY!!!

Mathematics
1 answer:
frutty [35]3 years ago
3 0

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:

<em>Using basic angle relationships, we should be able to tell these angles easily</em>.

If the 57° is supplementary to m, then m will be 180 - 57 = 123 degrees.

k is also supplementary to m, so k is 180-123=57 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 180-81=99 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 180-k-g since all 3 sides of a triangle add up to 180°: so 180-57-81=42 degrees.

r will be supplementary to the 81° angle and s, 42, so r is 180 - 81 - 42=57 degrees.

u is an alternate interior angle to r, so u is also 57 degrees.

v is supplementary to u, so v will be 180-57=123 degrees.

Hope this helped!

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