Math, asked by Shayaanharish, 9 months ago

please help me find this
( Find angles x and y in this figure) ​

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Answered by abhineetc740
1

Answer:

X=60

Y=60

Step-by-step explanation:

ANGLE WITH THE EXTENDING ANGLE 120 WILL BE 60 AS PER AS THE PROPERTIES OF LINEAR PAIR.

AS WE CAN SEE THE TWO SIDES OF TRIANGLE BEING THEPARTS OF THE ARM OF ANGLE X

SO BY THE POROPERTY THST THE ANGLES OPPOSING BTHE TWO EQUAL SIDES ARE EQUAL THUS ANGLE Y WILL BE 60

TO FIND ANGLE X SIMPLY SUBTRACT SUM OF Y AND 6 AND X FROM 18

WHICH WILL GIVE 60

THUS X=60

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Answered by rkuntal7686
1

gjven: let the triangle be ABC

°•° AB = AC •°• <B = <C = <y

<ACD = 120°

To find: <x & <y

°•° BD is a straight line

•°• <y + 120° = 180° (by linear pair axiom)

<y = 180° - 120°

<y = 60°

Now, by exterior angle property in triangle ABC

<x + <y = 120°

<x + 60° = 120°

<x = 120° - 60°

<x = 60°

<x = 60° & <y = 60°

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