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tatuchka [14]
3 years ago
5

What is the value of x? 72 84 96 252 helpppp please

Mathematics
2 answers:
Art [367]3 years ago
7 0
Its 72, which is answer A
hammer [34]3 years ago
7 0

Answer: 72

Step-by-step explanation:

We know that<em> the sum of all exterior angles of a polygon is 360°.</em>

Therefore, by the given picture, we have

(x+12)^{\circ}+57^{\circ}+108^{\circ}+60^{\circ}+51^{\circ}=360^{\circ}\\\\\Rightarrow x+288^{\circ}=360^{\circ}\\\\\Rightarrow\ x=360^{\circ}-288^{\circ}\\\\\Rightarrow\ x=72^{\circ}

Hence, the value of =72

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R is the interior of angle TUV. The measure of RUV=30degrees, the measure of TUV=3x+16, and the measure of TUR=x+10. Find x and
choli [55]

Given

R is the interior of ∠ TUV.

m∠ RUV=30degrees, m∠ TUV=3x+16, and m∠ TUR=x+10.

Find the value of x and the m ∠TUV.

To proof

As given in the question

m ∠TUV=3x+16, and m ∠TUR=x+10

thus

m∠ RUV =  m∠ TUV - m∠ TUR

            = 3x + 16 - x -10

            = 2x + 6

As given

m ∠RUV=30°

compare both the values

we get

30 = 2x + 6

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put this value in the m ∠TUV= 3x+16

m ∠TUV= 12× 3 +16

            = 52°

Hence proved


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Step-by-step explanation:

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