Parallelogram rstu is a rhombus. m∠r = 120° what is m∠t = 120 (what is m∠rsu? )

∠RSU=30° and ∠T=120°

Step-by-step explanation:

Given a parallelogram RSTU and  m∠T = 120°. We have to find the measure of angle m∠RSU.

As opposite angles of parallelogram are equal

⇒ m∠R=m∠T=120°

In ΔRUS,

By angle sum property of triangle which states that sum 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°

there are infinitely many solutions.

step-by-step explanation:

i think its about 8