Question

PLLLSSS HELP MEEE!!

What is the measure of ∠SPQ in this rhombus?


m∠SPR=(2x+15)°


m∠QPR=(3x−5)°

Answer 1

Answer: i just took it and it's 110

Answer 2

∠SPQ = 110°

Explanation:

A property of rhombus state that the diagonal bisect the angle ∠SPQ into ∠SPR and ∠QPR , then:

∠SPR = ∠QPR

2x+15 = 3x−5

15 + 5 = 3x - 2x

20° = x

That means: ∠SPR = 2(20°)+15° = 55° = ∠QPR

∠SPQ = ∠SPR + ∠QPR = 55° + 55° = 110°