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
triangles △EGB≅ △EGC
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
