Question

I will give brainliest. please help! <3

Answer 1

Answer:

Given in the problem , as ΔBEC is an equilateral triangle , ∠GCD=90°,m∠ECD=30°

Step-by-step explanation:

Step1:

Statement 2:

as ΔBEC is an equilateral triangle

statement 3:

BG ≅ GC as FG  is perpendicular bisector given in the problem.

Statement 4.

∠CFG =60° as as ΔBEC is an equilateral triangle

Staement 5 : Reason : All the angles of an equilateral triangle are 60°

step 2 :-

Statement 1.

as ΔBEC is an equilateral triangle is given in the fourth statement of the problem.

Statement 2.

m∠GCE = 60° as it is contained in ΔBEC which is an equilateral triangle. All the angles of an equilateral triangle are 60°.

Statement 3:

∠GCD =90° as ABCD is a square

Statement 4:

m∠ECD=∠GCD-m∠GCE

            =90°-60°

            =30°

Hence Proved