Question

17. Given kite RSTU, what is mRUS?

Answer 1

• As it's a kite <R is equally bisected

So

• <TRU=<TRS=27°

Diagonals of Rhombus intercect at 90°.

So

Using angle sum property

`\\ \tt\longmapsto 90+27+<RUS=180`

`\\ \tt\longmapsto <RUS=180-117=63°`

Answer 2

• 63°

Explanation:

The diagonals of the kite are perpendicular: RT ⊥ SU

RT is angle bisector of ∠SRU

∠RSU and ∠RUS are equal angles and are complementary with ∠SRT:

• m∠RUS = 90° - 27° = 63°