Since, parallel RSTU is a rhombus. Thus, the is a residential property of rhombus the opposite angles have 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 residential property of parallelogram states that the sum of angles of a parallelogram 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 two opposite internal angles.

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

m∠RSU = 30° = m∠TSU

Thus, m∠RSU = 30°



A. It should be a parallelogram

Step-by-step explanation:

The prize is "A. It must be a parallelogram" because every rhombus is a parallelogram.

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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 uncover the measure up of angle m∠RSU.

As opposite angles of parallelogram are equal

⇒ m∠R=m∠T=120°

In ΔRUS,

By edge sum residential property of triangle which says that amount of all 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°



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