Question
Determine the measure of the complementary angles in the figure shown. Remember that complementary angles add up to 90 degrees . Step 1 set up an equation and solve x step 2 find the value of the angles
Answers
GPT-4o mini
To determine the measures of complementary angles, let's define the angles. Since complementary angles add up to 90 degrees, we can represent the angles as follows:
1. Let one angle be \( x \).
2. The other angle can be expressed in terms of \( x \). For example, if the second angle is \( 90 - x \), then the two angles are complementary.
Now, follow these steps:
### Step 1: Set Up the Equation and Solve for \( x \)
If we have one angle as \( x \) and the other as \( 90 - x \), we can simply state that:
\[
x + (90 - x) = 90
\]
Since they are already defined as complementary angles, you can solve for \( x \) if it’s provided in the context of the problem (for instance, if you have a specific relationship or value for one of the angles).
### Step 2: Find the Values of the Angles
Let’s assume that we have an expression for one angle, e.g., if one angle \( x \) is given as \( 30^\circ \):
\[
\text{If } x = 30,
\]
Then the other angle would be:
\[
90 - x = 90 - 30 = 60^\circ.
\]
Thus the complementary angles are \( 30^\circ \) and \( 60^\circ \).
If you have specific values or equations from a figure shown (as you mentioned, but not provided), plug in those values accordingly to find the angle measures.
If you need help with a specific example or figure, please provide the details!
1. Let one angle be \( x \).
2. The other angle can be expressed in terms of \( x \). For example, if the second angle is \( 90 - x \), then the two angles are complementary.
Now, follow these steps:
### Step 1: Set Up the Equation and Solve for \( x \)
If we have one angle as \( x \) and the other as \( 90 - x \), we can simply state that:
\[
x + (90 - x) = 90
\]
Since they are already defined as complementary angles, you can solve for \( x \) if it’s provided in the context of the problem (for instance, if you have a specific relationship or value for one of the angles).
### Step 2: Find the Values of the Angles
Let’s assume that we have an expression for one angle, e.g., if one angle \( x \) is given as \( 30^\circ \):
\[
\text{If } x = 30,
\]
Then the other angle would be:
\[
90 - x = 90 - 30 = 60^\circ.
\]
Thus the complementary angles are \( 30^\circ \) and \( 60^\circ \).
If you have specific values or equations from a figure shown (as you mentioned, but not provided), plug in those values accordingly to find the angle measures.
If you need help with a specific example or figure, please provide the details!