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Mathematics 19 Online
CC12:

Math help Parallelogram RSTU is a rhombus. m∠R = 120° What is m∠T? What is m∠RSU?

CC12:

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CC12:

angle t is 120

CC12:

@Shadow

AngeI:

Isnt angle r and t equal?

CC12:

yes thats why i said angle t =120

AngeI:

Pretty sure youre right lol

CC12:

i ned help finding angle RSU

AngeI:

I dont exactly remember how to do that, Im sorry

CC12:

its ok

CC12:

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CC12:

would angle RSU BE 220

AP:

Woah, 220°? How'd you get that?

AP:

The total sum of the angles of a parallelogram is 360°. This this parallelogram happens to be a rhombus, so given that m∠R = 120°, m∠T = 120° as well. Both add up to 240°. Since 360° - 240° = 120°, and you still have to account for∠RST and ∠RUT, each will be equivalent to 60°.

AP:

Don't forget this is a rhombus, so all the sides are equivalent in length. To find m∠RSU, acknowledge that RS = RU, therefore, their angles will also be congruent. △RSU will add up to to a total sum of 180°. Given that ∠R = 120°, and ∠S = ∠U, solve: 180° - 120° = 60° 60°/ 2 = 30° Therefore ∠RSU = 30°.

CC12:

Thank you

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