Question

supplementary angle with angle 1 at 92 degrees and angle 2 at x and angle 3 at 78 degrees, solve for x

Answer 1

Supplementary angles are angles that add up to \(180\) degrees. Given that angle 1 is \(92\) degrees and angle 3 is \(78\) degrees, we can find angle 2, denoted as \(x\), using the following equation:

\[
\text{Angle 1} + \text{Angle 2} + \text{Angle 3} = 180
\]

Substituting the known values:

\[
92 + x + 78 = 180
\]

Combining like terms on the left side:

\[
170 + x = 180
\]

Now, isolate \(x\) by subtracting \(170\) from both sides:

\[
x = 180 - 170
\]

\[
x = 10
\]

Thus, the value of \(x\) is \(10\) degrees.