Respuesta :
Answer: I had the same assingment and came here looking for answers myself. When I saw the only anwser was 20 (Which is wrong) I decided I would try my best and If I got it right come back here and share the correct answers for future students.
Just look at the PDF attached below, I somehow got a 50/50.
Step-by-step explanation:
Statements                          Reasons
1. △EGC ≅ △EGB                   1. Given
2. EB ≅ EC                        Supposition
3. <EGC ≅ <EGB                    Given
4. Equilateral  Triangle            EB ≅ EC ≅ BC
5. Equilateral  Triangle            m∠BEC = 60°
Statements                         Reasons
1. △BEC is equilateral            AAS≅AAS postulate (angle angle side)
2. m∠GCE = 60°                  m∠BEC = 60°  Equilateral Triangles
3. FG ⊥ BC &  FG ⊥ AD                  ABCD is a square
4.  m∠ECD +  m∠BEC = 30°+60°              Substitution (right angles)
m∠DCG = 90°                          right angles of a square
m∠BED=  135°
Statements                          Reasons
1. △ECG ≅ △EBG                       Given
2.  ABCD is a square                    Given
3. BC ≅ BE                           Given
4. AB ≅ DC                          ABCD is a square
5.  m∠ABE ≅  m∠DCE              Outside angles of congruent Â
                                triangles â–³EGB≅    △EGC  Â
5.  △AEB≅ △DEC             S.S.A ≅ S.S.A. ( side side angle) Postulate
△BEC is equilateral                 m∠BEC = 60°
△ECD is isosceles                 m CD= mCE
∠ECD = 30°                      m∠BEC = 60°
As m∠BEC +∠ECD = 30°+ 60°      right angle of the square ABCD
The equal sides of the isosceles triangles are called the legs and the unequal third side is called the base.
Angles opposite to the equal sides of the isosceles triangle must also be equal.
As the third angle is 30° so the other two angles must be 75° each to make a total of 180°.
m∠BED=  m∠BEC +  m∠CED
       = 60° + 75°= 135°
https://brainly.com/question/22140109
