Question

In the figure, find the measures of x and dy.​

Answer 1

PROPERTIES OF REGULAR

HEXAGON :

1. ALL INTERIOR ANGLES ARE EQUAL
2. SUM OF ALL ANGLES IS 720°

SOLUTION :

IF ONE INTERIOR ANGLE OF REGULAR HEXAGON IS x THEN THE OTHER FIVE INTERIOR ANGLES ARE ALSO x

$= > x + x + x + x + x + x = 720 \\ \\ (since \: sum \: of \: all \: interior \: angles \: is \: 720) \\ \\ = > 6x = 720 \\ \\ = > x = 120 \\ \\ x + y = 180 \: \: \: (angles \: on \: straight \: line) \\ \\ = > 120 + y = 180 \\ \\ = > y = 180 - 120 = 60$

∴ X = 120° , Y = 60°

HOPE IT HELPS !!!!

Answer 2

In the figure, find the measures of x and dy.

Answer

5.0

6

PROPERTIESOFREGULAR

1.

E

R

A

S

E

G

N

A

R

O

I

R

E

T

N

I

L

L

A

L

A

U

Q

E

2.

°

0

2

7

S

I

S

E

G

N

A

L

L

A

F

O

M

U

S

SOLUTION:

IF ONE INTERIOR ANGLE OF REGULAR HEXAGON IS x THEN THE OTHER FIVE INTERIOR ANGLES ARE ALSO x

\begin{gathered} = > x + x + x + x + x + x = 720 \\ \\ (since \: sum \: of \: all \: interior \: angles \: is \: 720) \\ \\ = > 6x = 720 \\ \\ = > x = 120 \\ \\ x + y = 180 \: \: \: (angles \: on \: straight \: line) \\ \\ = > 120 + y = 180 \\ \\ = > y = 180 - 120 = 60\end{gathered}