Question

Refer to the figure.

32°
(x+3)°
Write an equation that can be used to find the value of x in the figure.

Answer 1

32 + (x+3) = 90

And in case you need it, x = 55.

Explanation:

Those two angles add up to 90 degrees bc it's a right angle (that little square in the bottom corner tells us that).

32 + (x+3) = 90

Now if the next question tells you to solve for x:

32 + x + 3 = 90

35 + x = 90

x = 90-35

x = 55

Answer 2

`\huge\boxed{\sf 32 + x + 3 = 90}`

Explanation:

Both the angles are complementary angles.

Complementary angles:

• Angles adding up to 90 degrees are called complementary angles.

Solution:

So, we can write,

32 + x + 3 = 90

We can use this equation to find the value of x.

Finding the value of x:

32 + x + 3 = 90

x + 32 + 3 = 90

x + 35 = 90

• Subtract 35 from both sides

x = 90 - 35

x = 55

`\rule[225]{225}{2}`