Question

To show the other two angle measurements in each triangle are equal, you can use parallel lines cut by a transversal. Which two pairs of line segments formed by triangle soared are parallel, and what is the transversal for each pair?

Answer 1

Answer:

Step-by-step explanation:

From the picture attached,

To prove the angles of the given triangles equal in measure,

Lines AB and ED are parallel and a transversal CE is intersecting these lines,

Therefore, ∠DEA ≅ ∠BAC [Corresponding angles]

Similarly, lines DA and BC are parallel and EC is a transversal line.

Therefore, ∠DAE ≅ ∠BCA [Corresponding angles]

Since, two angles of the given triangles are equal in measure, by AA property of similarity ΔADE ~ ΔCBA.

And remaining third angle of the triangles will be equal in measure.

Answer 2

Answer:

m∠EHC   =  131.19°

m∠EHD  =  48.81°

m∠CHG  =  48.81°

m∠DHG   =   131.19°

m∠HGA  =  131.19°

m∠HGB  =  48.81°

m∠AGF   =  48.81°

m∠BGF  =  131.19°

Step-by-step explanation: