Question

Two angles angle, one and angle two in a diagram or supplementary if M angle one equals 77°. What equation can you write to solve for M angle 2M angle to equal X?
X degrees equals 90° -77°
8° +77° equals 90°
X degrees +77° equals 180°
X degrees equals 77°

Answer 1

If angles one and two are supplementary, then they add up to 180 degrees. Given that \(\text{M angle one} = 77^\circ\), you can write the equation:

\[
\text{M angle one} + \text{M angle two} = 180^\circ
\]

Substituting the known value:

\[
77^\circ + \text{M angle two} = 180^\circ
\]

To solve for \(\text{M angle two}\), you can rearrange the equation:

\[
\text{M angle two} = 180^\circ - 77^\circ
\]

Calculating that gives:

\[
\text{M angle two} = 103^\circ
\]

Thus, your solution would be:

\[
\text{M angle two} = 103^\circ
\]

The correct equation to write would be:

\[
X + 77^\circ = 180^\circ
\]

where \(X\) represents \(\text{M angle two}\).

So, \( X = 180^\circ - 77^\circ = 103^\circ \).