the three angles of a quadrilateral are 60 80 and 120.find the fourth angle
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Answered by
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Let the fourth angle be x
Now,
60°+80°+120°+x=360(Angle sum property of a quadrilateral)
x+260°=360°
x=360-260
x=100°
Now,
60°+80°+120°+x=360(Angle sum property of a quadrilateral)
x+260°=360°
x=360-260
x=100°
Answered by
0
Answer:
100° is the fourth angle of the given quadrilateral .
Step-by-step explanation:
Explanation:
Given , three angles of a quadrilateral are 60 °, 80° and 120°
Let fourth angle of an quadrilateral be 'x' .
And we know that the sum of angle of a quadrilateral = 360°
Step 1:
Therefore , 60 + 80 + 120 + x = 360
(sum of angles of a quadrilateral is equal to 360 °)
⇒260+ x = 360
⇒ x = 360 - 260 = 100
Final answer :
Hence , the fourth angle of the given quadrilateral is 100°
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