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which angle determines whether or not quadrilateral svut is a trapezoid?

what measure would the angle need to be for svut to be a trapezoid? provide theorems and postulates you used and explain your reasoning.

∠TUV  is the angle which determines whether or not quadrilateral SVUT is a trapezoid and

Measure of ∠TUV is 68° is needed to be for SVUT to be a trapezoid.

Step-by-step explanation:

Given the figure SVUT in which ∠V=112°. we have to tell the angle which determines whether  or not quadrilateral SVUT is a trapezoid.

As we know one pair of opposite sides of trapezium is parallel

∴ ∠SVU and ∠TUV and also  ∠VST and ∠UTS are co-interior angles hence are supplementary.

As ∠SVU is given ∴ ∠TUV  is the angle which determines whether or not quadrilateral SVUT is a trapezoid.

Now, we have to tell the measure of angle

If measure of ∠TUV is such that the sum of ∠SVU and ∠TUV is 180° then quadrilateral SVUT is a trapezoid.

⇒ ∠SVU +∠TUV = 180°     ( ∵ Co-interior angles)

⇒ 112° + ∠TUV = 180°

⇒  ∠TUV =180-112=68°

hence, measure of ∠TUV is 68° is needed to be for SVUT to be a trapezoid.

x

step-by-step explanation:

b

step-by-step explanation:

it have 5 sides and 5 identicle angle.the rest does not have the same property as b.

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