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∠1 ​ and ∠2 are complementary.



∠1=x°∠2=(3x+30)°



Select from the drop down menu to correctly answer the question.



What is the value of x? .
A.15
B.25
C.30
D.40
E.55

Respuesta :

wegnerkolmp2741o

Answer:

A =15

Step-by-step explanation:

Complementary angles add to 90 degrees

<1 + <2 =90

x + 3x+30 =90

Combine like terms

4x+30 =90

Subtract 30 from each side

4x+30-30 = 90-30

4x= 60

Divide by 4

4x/4 = 60/4

x = 15

calculista

Answer:

Option A

The value of x is [tex]15\°[/tex]

Step-by-step explanation:

we know that

If two angles are complementary, then its sum is equal to [tex]90\°[/tex]

In this problem we have that

[tex]m<1+m<2=90\°[/tex] ------> equation A

we have

[tex]m<1=x\°[/tex]

[tex]m<2=(3x+30)\°[/tex]

Substitute the values of m<1 and m<2 in the equation A and solve for x

[tex]x\°+(3x+30)\°=90\°[/tex]

[tex]4x=90\°-30\°[/tex]

[tex]4x=60\°[/tex]

[tex]x=60\°/4=15\°[/tex]


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