Construction workers are building a house. The diagram represents part of a ceiling beam that they need to construct. The angle on the left measures 118°
and angle x
is unknown. The horizontal line holding the vertex of each angle is a straight line, so these two angles must add up to 180°
.
The two angles add up to 180°, so we can set up an equation:
118° + x = 180°
To solve for x, we can subtract 118° from both sides of the equation:
x = 180° - 118°
x = 62°
Therefore, angle x measures 62°.