5) A 26-foot ladder is leaning against a building with the top of the ladder touching the exact top of the building. The bottom of the ladder is 10 feet
from the building. How tall is the building?

the building is 16 feet tall

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°