Two supplementary angles have measures of 95 degrees and (3x + 10) degrees. What is the value of x?

Question

*
31.7
28.3
25
75

Answer 1

To determine the value of \( x \) for the two supplementary angles, we start by using the definition of supplementary angles: they add up to 180 degrees.

Given that one angle measures 95 degrees and the other angle measures \( (3x + 10) \) degrees, we can set up the following equation:

\[ 95 + (3x + 10) = 180 \]

Now, simplify the equation:

1. Combine like terms: \[ 95 + 10 = 105 \] So, the equation becomes: \[ 105 + 3x = 180 \]

2. Subtract 105 from both sides: \[ 3x = 180 - 105 \] \[ 3x = 75 \]

3. Divide both sides by 3: \[ x = \frac{75}{3} \] \[ x = 25 \]

Thus, the value of \( x \) is \( \boxed{25} \).