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FromTheMoon [43]
4 years ago
5

What is the measure of ∠SPQ in this rhombus?

Mathematics
2 answers:
liraira [26]4 years ago
6 0
 the answer is (142 ) sorry im late but good luck : )
stiv31 [10]4 years ago
3 0

Answer:

m∠SPQ=142\°

Step-by-step explanation:

we know that

In a Rhombus the diagonals bisect the angles,

so

m∠SPR=m∠QPR

substitute the values

(4x+11)\°=(5x-4)\°

solve for x

5x-4x=11+4

x=15\°

m∠SPQ=m∠SPR+m∠QPR

m∠SPQ=(4x+11)\°+(5x-4)\°

m∠SPQ=(9x+7)\°

m∠SPQ=(9*15+7)\°=142\°

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