Question

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

Answer 1

C . 93° and 55°

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

`32^o+93^o+x=180^o`

`x=180^o-125^o=55^o`

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

`32^o,93^o,55^o`

therefore

The answer is

C . 93° and 55°