Question

12.
A regular pentagon is a five sided figure
which has all of its angles equal and all
of its side lengths equal. in the diagram,
TREND is a regular pentagon, PEA is an
equilateral triangle, an OPEN IS a square
Then <EAR is


1) 52
2)46
3)28
4) 39​

Answer 1

Answer:

answer is 39

...........

Answer 2

ANSWER:

The required answer is $4) 39.$

Step-by-step explanation:

Given: TREND is a regular pentagon, PEA is an equilateral triangle, and OPEN is a square.

To find The value of EAR.

Solution:

• As a pentagon is a figure of $5$ sides the number is divided by $5$.
• The angle of the pentagon = $\frac{540}{5}$

• The angle at E =∠$x + 60 + 90 + 108$ = $360$°
• ∠$x = 360-150-108$
• ∠$x = 210 -108$
• ∠$x = 102$°

• PE = EN (Side of the square)
• AE = PE (Side of the equilateral triangle)
• AE = ER (Sides of an isosceles triange)
• ∠ $1$ = ∠ $2$ (Angles of an isosceles triangle)
• ∠ $1$ +∠ $2$ + ∠$x$ = $180$° (Angles of a triangle)
• $2$ ∠ $1$ + $102$° = $180$
• $2$ ∠ $1$ = $78$°
• ∠ $1$ = $39$°
• Therefore the required answer is $39$° which is the fourth option.

PROJECT CODE: #SPJ2

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