Math, asked by sandhyaanu101, 9 months ago

2. Find x in the following figure
30

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Answers

Answered by pracheecrpanda
2

Answer:

in the internal angles sum of the given 3 angles is

90+90+120+140 =440. ( 140= 180-40 at b)

now the sum of all the angles in a pentagon is 540 thus angle c = 540-440

that is 100 degree

x form a linear pair( when sum of two angles is 180) with c

therefore angle c+x = 180degree

thus x=180-100=80

Please mark this answer as brainliest

Answered by AkNUN
0

Answer:

x=80° by linear pair

please see the process in image

ok bro

Step-by-step explanation:

angleAED=90°(linear pair 180°=90°+angleAED

angleAED=180°-90°

angleAED=90°

similarly

angleEDC=120°

angleABC=140°

you can see here ABCDE is a pentagon

then sum of all angle of pentagon =540°

then,

angleEAB+angleABC+angleBCD+angleCDE+angleDEA=540°

then,

90°+140°+90°+120°+angleBCD=540°

then,

440°+angleBCD=540°

angleBCD=540°-440°

angleBCD=100°

then,

angleBCD +angle X =180°

100°+angle X=180°

angle X =180°-100°

angle X =80°

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