Question

In a quadrilateral PQRS, <P=65, <Q=125.If <R:<S::2:3, find the angles R and S.


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Answer 1

Answer:

P=65

Q=125

sum of all angle in quadrilateral =360°

In quad pqrs p=65,q=125 and rs are in the ratio=R:S::2:3

so r:s be 2x and 3x

P+q+r+s=360°

65+125 +2x+3x=360°

190+5x=360°

5x=360-190

5x=170

x=170÷5=34

R=2x=2×34=68

S=3x=3×34=102

Answer 2

quadrilateral =360

so p+q+r+s=360

65+125+r+s 360

190+r+s=360

r+s=360-190

=170

r:s=2:3

2x+3x=170

5x=170

x=170/5

x=34

r=2(34)=68

s=3(34)=102

so65+125+68+102=360

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