Since, parallel RSTU is a rhombus. Thus, it is a residential property of rhombus that opposite angles have actually equal measure.

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Thus, m∠R = 120° =m∠T

Also, m∠U = m∠S

Let it it is in x°.

Angle sum home of parallelogram states that the sum of angle of a parallel is 360°.

m∠R + m∠T+ m∠U + m∠S = 360°

120 +!20 +x + x = 360

2x = 360 - 240

2x = 120

x = 60°

Thus, m∠U = m∠S = 60°

Also in Rhombus, each diagonal bisects 2 opposite inner angles.

Then , us is a diagonal bisecting ∠U and ∠S.

m∠RSU = 30° = m∠TSU

Thus, m∠RSU = 30°

A. It should be a parallelogram

Step-by-step explanation:

The answer is "A. It need to be a parallelogram" due to the fact that every rhombus is a parallelogram.

step-by-step explanation:

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∠RSU=30° and also ∠T=120°

Step-by-step explanation:

Given a parallel RSTU and m∠T = 120°. We have actually to find the measure up of edge m∠RSU.

As opposite angle of parallelogram room equal

⇒ m∠R=m∠T=120°

In ΔRUS,

By edge sum residential property of triangle which claims that sum of every the angles of triangle is 180°

m∠RUS+m∠URS+m∠RSU=180°

⇒ m∠RSU+120°+m∠RSU=180° (∵RSTU is a rhombus.)

⇒ 120°+2m∠RSU=180°

⇒ 2m∠RSU=60° ⇒ m∠RSU=30°

A. It have to be a parallelogram

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