Question

ABC is an equilateral triangle and BCDE is a square find measure of angle BEA

Answer 1

Answer

<BEA=15°

Solution

ABC is an equilateral triangle and BCDE is a square,So the sides of triangle and square are equal. From the figure attached with this answer, <ABC =60( triangle ABC is an equilateral triangle.)

<EBC is 90° (angle of a square)

Therefore <ABE = 60° + 90° =150°

The triangle and square have equal side , the AB = BE

Triangle ABE is an isosceles triangle. <BEA = <BAE =(180 -150)/2 = 15°

Therefore <BAE=15°

Answer 2

Answer:

The measure of  ∠BEA = 15°

Step-by-step explanation:

Equilateral triangle:

A triangle whose all sides and all angles are equal is called an equilateral triangle.

Square:

A square is a 2-dimensional figure which has four sides and all the sides are equal.

Given ABC is an equilateral triangle and BCDE is a square.

Since ABC is an equilateral triangle then we can say AB = AC

From the figure we can say

Since ∠ABC = 60° and ∠EBC = 90°

  ∠ABE = ∠EBC+∠ABC = 90°+60° = 150°

        Since the equilateral triangle has all sides equal and also the square has all equal sides.

So, we can say  AB = AE

  and also ∠BEA  = ∠AEB

Now we will find  

 ∠AEB  = (180°-150°)/2 = 15°

Hence ∠BEA = 15°

Know more about Geometry:

https://brainly.in/question/25376118?referrer=searchResults

#SPJ3