Question

triangle efg is similar to triangle tuv as shown below based on the measurements of the triangles what is the measurement of angle u?

Answer 1

Incomplete Question the Complete Question with figure is below.

Answer:

The correct option is C . 48°

Therefore,

measure angle U is 48°.

Step-by-step explanation:

Given:

ΔEFG ~ ΔTUV

∠ F = 48°

To Find:

measure angle U = ?

Solution:

When the two Triangles are Similar then their Vertices are correspondence to each other. the correspondence of vertices are as

For, ΔEFG ~ ΔTUV  

E ↔ T

F ↔ U

G ↔ V

Also Corresponding angles of Similar Triangles are Congruent.

Therefore

∠F ≅ ∠U       Corresponding angles of Similar Triangles are Congruent.

But ∠ F = 48°     ......Given

∴ ∠U = 48°        ...........Transitive Property

Therefore,

measure angle U is 48°.