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FromTheMoon [43]

4 years ago

5

What is the measure of ∠SPQ in this rhombus?

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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