The angles with measures x and 4x are complementary angles. Which is the value of x?

Angle x plus angle 4 x equals 90 degrees. Angle 4 x is roughly 4 times wider than angle x.
CLEAR SUBMIT

𝑥=18°
x
=
18
°



𝑥=22.5°
x
=
22
.
5
°



𝑥=36°
x
=
36
°



𝑥=45°
x
=
45
°


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ENGLISH

The correct value of x is 18°.

To find the value of x, we can set up the equation:

x + 4x = 90 degrees

Combining like terms, we get:

5x = 90 degrees

Dividing both sides by 5, we find:

x = 18 degrees

Therefore, the value of x is 18 degrees.

To find the value of x, you need to set up an equation based on the given information.

We know that complementary angles add up to 90 degrees. So, we can write the equation:

x + 4x = 90

Combine like terms:

5x = 90

Next, we need to isolate x by dividing both sides of the equation by 5:

x = 90/5

Simplify the division:

x = 18

Therefore, the value of x is 18 degrees.