Answer:
x = 2
Step-by-step explanation:
Since these two angles are complimentary, that means that they add up to 180 degrees.
<u>Step 1: Make an equation
</u>
<em>(27x + 42) + (23x + 38) = 180
</em>
<u>Step 2: Combine like terms
</u>
<u>27x</u> + 42 + <u>23x</u> + 38 = 180
<em>50x + 80 = 180
</em>
Step 3: Subtract 80 from both sides
50x + 80 - 80 = 180 - 80
50x = 100
Step 4: Divide 50 from both sides
50x / 50 = 100 / 50
<em>x = 2
</em>
Answer: x = 2
