Question

PLEAE HELP ME OUT HURRY!!!

Angle Relationship:

Angle m=
Angle k=
Angle h=
Angle p=
Angle q=
Angle f=
Angle g=
Angle s=
Angle r=
Angle u=
Angle v=

Answer 1

m = 123°

k = 57°

h = 123°

p = 99°

q = 81°

f = 99°

g = 81°

s = 42°

r = 57°

u = 57°

v = 123°

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
`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!