2. Find x in the following figure
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Answers
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
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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°