Page 2 - ws1ans

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Ans: x = 125 - 90 = 35

8) The three angles of a triangle are in the ratio 1:2:1. Find all the angles of the 3
triangle.

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Ans: x + 2x + x = 180
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 4x = 180
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 X =45
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So, the angles are 45 , 45 , 90
9) Find the values of the unknowns x and y in the following diagrams: 3

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Ans: fig (i) : y = 80 , x = 50 0

fig (ii) : y = 80 , x = 50
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10) ABCD is a quadrilateral. Is AB + BC + CD + DA > AC + BD? If yes then 4
justify your answer.

Ans:
In triangle ABD, AD + AB >BD ---------(1)
triangle ABC, AB + BC >AC----------(2)
Similarly in triangle BCD, BC + CD> BD------------------(3)
Triangle ADC, AD + CD > AC------------------(4)
Adding equation (1), 2, 3, 4
2(AC + BD)< 2( AB + BC + CD + AD)
So, (AC + BD)< ( AB + BC + CD + AD)