Solve Equations with Adjacent Angles Quick Check

Question

2 of 52 of 5 Items
Question
For two adjacent angles with measures x°
and (x+30)°
that make up a 90°
angle, what is x
?(1 point)
Responses

30
30

60
60

15
15

20
20
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page 12 of 12

Answer 1

To solve for \( x \) in the two adjacent angles, we know that the sum of the angles must equal 90°. The measures of the angles are \( x° \) and \( (x + 30)° \).

We can set up the equation:

\[ x + (x + 30) = 90 \]

Simplifying this, we get:

\[ 2x + 30 = 90 \]

Next, subtract 30 from both sides:

\[ 2x = 60 \]

Now, divide by 2:

\[ x = 30 \]

So, the value of \( x \) is 30.