Question
complimentary angle, angle 1 is 43 degrees and angle 2 is x-7, solve for x
Answers
GPT-4o mini
To find the value of \( x \) for the given complementary angles, we need to remember that complementary angles add up to \( 90^\circ \).
Given:
- Angle 1 = \( 43^\circ \)
- Angle 2 = \( x - 7^\circ \)
We can set up the equation as follows:
\[
43 + (x - 7) = 90
\]
Now, simplify the equation:
\[
43 + x - 7 = 90
\]
\[
x + 36 = 90
\]
Next, isolate \( x \) by subtracting \( 36 \) from both sides:
\[
x = 90 - 36
\]
\[
x = 54
\]
Thus, the value of \( x \) is \( 54 \).
Given:
- Angle 1 = \( 43^\circ \)
- Angle 2 = \( x - 7^\circ \)
We can set up the equation as follows:
\[
43 + (x - 7) = 90
\]
Now, simplify the equation:
\[
43 + x - 7 = 90
\]
\[
x + 36 = 90
\]
Next, isolate \( x \) by subtracting \( 36 \) from both sides:
\[
x = 90 - 36
\]
\[
x = 54
\]
Thus, the value of \( x \) is \( 54 \).