208k views
5 votes
Find x,y, and z and please show all work.

Find x,y, and z and please show all work.-example-1

1 Answer

2 votes

Answer:

x = 47°

y = 10

z = 5

Explanation:

They share the middle line which is one side. It's given that side y is congruent to the side with a value of 5. Angle X and the non labeled angel are also congruent to each other. Using SAS (side angle side) we can conclude the 2 triangles are congruent, which means all angles and sides are congruent and equal.

The angles of a triangle add to 180.

x+90+43=180

x=47

z is congruent/equal to 5 since they are congruent and equal triangles. Therefore z=5

Y is congruent to side 10, which also means it is equal to 10. Therefore y=10

User Trincot
by
5.1k points