.The angles of a quadrilateral are x, x – 10, x + 30 and 2x, the smallest angle is equal to
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Answered by
47
❥︎. The sum of quadrilateral is 360°.
So, x+ x-10+ x+30+2x=360°
5x + 20= 360
5x = 360-20
5x = 340
x = 340/5
x = 68
First angle = 68°.
Second angle = x-10 = 68-10 = 58°.
Third angle = x+ 30 = 68+30 = 98°.
Fourth angle = 2x = 2× 68 = 136°.
The smallest angle is = 58°, second angle.
Answered by
3
Answer:
58
Step-by-step explanation:
The sum of quadrilateral is 360°.
So, x+ x-10+ x+30+2x=360°
5x + 20= 360
5x = 360-20
5x = 340
x = 340/5
x = 68
Smallest angle=x-10= 68 - 10= 58
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