Answer:
C . 93° and 55°
Step-by-step explanation:
<u><em>The options of the question are</em></u>
A. 32 and 58°
B
. 32 and 74
C
. 93 and 55
D
. 93 and 87
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
step 1
Find the measure of the third angle triangle M
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
Let
x ---> the measure of the third angle Triangle M
step 2
Find the measure of the interior angles triangle N
Remember that
Triangle M and Triangle N are similar
That means
corresponding angles are congruent
so
The measure of the interior angles triangle N are
therefore
The answer is
C . 93° and 55°