Math, asked by vipul170878, 2 months ago

Answer me pls
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Answered by akarshit2007
1

Step-by-step explanation:

Let the four angles of a quadrilateral be ∠A, ∠B, ∠C, ∠D.

Sum of two angles is given to be 145∘,say, ∠A + ∠B = 145∘.

Ratio of other two angles is 2:3, then, the angles be 2x and 3x.

Thus, we know sum of all angles of a quadrilateral is 360o.

So, we have

∠A + ∠B + ∠C + ∠D= 360∘⇒ 145∘+ 2x + 3x = 360∘⇒ 5x = 360 − 145∘ = 215∘⇒ x = 215∘5 = 43∘Thus, ∠C = 2x = 2 × 43∘=86∘           ∠D = 3x = 3 × 43∘=129∘

Answered by singhtrilok283
0

Step-by-step explanation:

sum of two angles of a quadrilateral =145°

Ratio of remaining two angles =2:3

Let these two angles be 2x and 3x

so, 145°+2x+3x= 360°

145°+5x = 360°

5x = 360°-145°

x= 215°/5

x= 43°

so, remaining angles are 2x =2×43°= 86°

3x=3×43°=129° ans.

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