Question

All of the following must be true statements except:

m∠RPS = m ∠WPR
m∠RPS + m∠ SPU= 180
m∠ SPT = m∠ UPT

Answer 1

We need to find the false statement.

The first one is true (m<RPS=m<WPR because RU⊥SW).

The second statement is true because the two angles make a linear pair and are supplementary.

The third one is false because we only know that the angle pair is complimentary. Their measures are not equal.

answer: m∠SPT=m∠UPT