Answer:
The measure of angle MNL is
Step-by-step explanation:
see the attached figure to better understand the problem
In this problem we know that
angle GNH is congruent to angle KNL
-----> by vertical angles
so
Find the measure of angle MNL
------> by complementary angles
Substitute and solve for m<MNL
Answer:
x = 12, y = 16
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
18(2x + 6) = 540 ( divide both sides by 18 )
2x + 6 = 30 ( subtract 6 from both sides )
2x = 24 ( divide both sides by 2 )
x = 12
-------------------------------------------
and
=
, substitute values
=
( cross- multiply )
27y = 432 ( divide both sides by 27 )
y = 16