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Answers
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∘
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.