Math, asked by saranyajoshi317, 9 months ago

Find the answer for the question 20th

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Answers

Answered by Mysterioushine
25

\huge\rm\underline\pink{Solution:-}

Given ratio = 6:4:5

Let x = 6x , y = 4x , Z = 5x

\large\rm\bold{\boxed{Sum\:of\:angles\:on\:straight\:line\:is\:180°}}

\large\rm{\implies{x+y+z\:=\:180}}

\large\rm{\implies{6x+4x+5x\:=\:180}}

\large\rm{\implies{15x\:=\:180}}

\large\rm{\implies{x\:=\:\frac{180}{15}\:=\:12}}

x = 6x = 6(12) = 72°

y = 4x = 4(12) = 48°

z = 5x = 5(12) = 60°

∴ x + y = 72° + 48° = 120°

Option(A) is correct

Answered by DibyenduChakraborty
2

Step-by-step explanation:

20.

AOB is a straight line

so, <AOB = 180°

and, x:y:z = 6:4:5

so,

x = 180°×[6/(6+4+5)]

= [180×6/15]°

= 72°

y = [180×4/15]°

= 48°

z = [180×5/15]°

= 60°

now, the value of (x+y) = (72°+48°) = 120°

so, the answer is option A. 120°

I hope it is a helpful answer......

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