115k views
3 votes
Two similar triangles are shown. AABC is similar to AXYZ What is the measure of 2 Z in degrees? o 27.4 O 31.3 58.7 O 62.6

Two similar triangles are shown. AABC is similar to AXYZ What is the measure of 2 Z-example-1
User Beanz
by
5.4k points

1 Answer

3 votes

Answer:

m∠Z = 58.7

Step-by-step explanation:

Similar triangles have the same interior angles and the proportions of the corresponding sides are constant.

So, in this case, if triangle ABC is similar to triangle XYZ, the measure of angle C is the same measure of angle Z. Then, the measure of angle Z in degrees is:

m∠Z = m∠C

m∠Z = 58.7

So, the answer is 58.7

User Reginaldo Santos
by
5.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.