Question

∠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

Answer 1

Option A

The value of x is
`15\°`

Explanation:

we know that

If two angles are complementary, then its sum is equal to
`90\°`

In this problem we have that

`m<1+m<2=90\°` ------> equation A

we have

`m<1=x\°`

`m<2=(3x+30)\°`

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

`x\°+(3x+30)\°=90\°`

`4x=90\°-30\°`

`4x=60\°`

`x=60\°/4=15\°`

Answer 2

A =15

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