Find the value of x of the polygon
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Hy! Gm mate❤️✌️
Answer: x=70
Step-by-step explanation:
2x + x + 20 + x + 60 = 360
4x + 80 = 360
4x = 280
x = 70
Hope this helps ☺️
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anushka7337:
from where you are getting 6x
ok understood
Hm ;-)
Plz mark as brainliest
It is correct answer
i can't mark you
any one else also has to answer
Ok np later on if u wish
then only i can mark you
Answered by
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Answer:
x = 70; The angles are 60º, 70º, 90º and 140º
Step-by-step explanation:
STEP 1: Find ∠CDB:
Adjacent angles on a straight line add up to 180º
∠CDB = 180 - 120
∠CDB = 60º
STEP 2: Find x:
Angles in a quadrilateral add up to 360º
2x + (x + 20) + x + 60 = 360
2x + x + 20 + x + 60 = 360
4x + 80 = 360
4x = 280
x = 70
STEP 3: Find the rest of the angles:
∠CDB = 60º (found earlier)
∠BAC = 2x
∠BAC = 2(70)
∠BAC = 140º
∠ABD = x + 20
∠ABD = 70 + 20
∠ABD = 90º
∠ACD = x
∠ACD = 70º
Answer: x = 70; The angles are 60º, 70º, 90º and 140º
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