Triangle M is similar to triangle N Triangle M has two angles with measures of 32° and
93. Which two angle measures could be included in triangle N?
32 and 58°
A
B
32 and 74
C
93 and 55
D
93 and 87

C . 93° and 55°

Step-by-step explanation:

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°

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls