Math, asked by evanjinvetharaja, 1 year ago

pls answer the 4th question

Attachments:

Hardik4Noone: hey x=84 y=21 z=48

Answers

Answered by ipsita974
0
angle COA +ANGLE COB= 180
84+2Z=180
Z=180÷2-84
Z=48
ANGLE BOD=ANGLE COA (vertically opposite. angle)
x=84
angle AOE+EOD+DOB=180
75+Y+84=180
159+Y=180
Y=180-159
Y= 21


X=84
Z=48
Y=21
Answered by AnswerStation
3
HEYA MATE,
Here is your answer

NOTE - '/' refers to angle
______________________________

BRIEF ANSWER: X = 84° ;

Y = 21° ;

2Z =96° ; Z = 48° ;
______________________________

EXPLAINED ANSWER:

/AOC = /X = 84° [ Vertically opposite /'s ]

\bf\huge\color{blue}{X\:=\:84°}
=============================

{We know that, /AOD = /AOE + /Y } ____(1)

Now, /AOD + /AOC = 180°

{ When a ray stands on a line, it forms supplementary /'s }

=> /AOD + 84° = 180°
=> /AOD = 96° _____(2)
=> /AOE +/Y = 96° { From (1) }
=> 75° + Y = 96°
=> Y = 21°

\bf\huge\color{blue}{Y\:=\:21°}

Now, /AOD = /2Z { VERTICALLY OPPOSITE/'s }

We know that, /AOD = 96°
=> 2Z = 96°
=> Z = \large\frac{96}{2}
=> Z = 48°

\bf\huge\color{blue}{Z\:=\:48°}
_______________________________

Hope this helps ❤️❤️❤️❤️❤️
Similar questions