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8. Lines and Angles
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Q7 of 115 Page 8

In Fig. 8.122, AOB is a straight line. If ∠AOC +∠BOD = 85°, then ∠COD =

Given,

AOB = Straight line


∠AOC + ∠BOD = 85o


∠AOC + ∠COD + ∠BOD = 180o (Linear pair)


85o + ∠COD = 180o


∠COD = 95o

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5

Consider the following statements:

When two straight lines intersect:


(i) 0Adjacent angles are complementary


(ii) Adjacent angles are supplementary.


(iii) Opposite angles are equal.


(iv) Opposite angles are supplementary.


Of these statements

6

Given ∠POR = 3x and ∠QOR =2x+10°. If ∠POQ is a straight line, then the value of x is

8

In Fig. 8.123, the value of y is

9

In Fig. 8.124, if = 5 and = 4, then the value of x is

Questions · 115
8. Lines and Angles
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