Question

if ( m angle qps = 96 ), ( m angle rpt = 67 ), and ( m angle rps = 34 ), what is ( m angle qpt )? enter your answer. ( m angle qpt = ) ?

Explanation:

Step1: Find \( m\angle SPT \)

We know that \( m\angle RPT = 67^\circ \) and \( m\angle RPS = 34^\circ \). To find \( m\angle SPT \), we subtract \( m\angle RPS \) from \( m\angle RPT \):
\( m\angle SPT = m\angle RPT - m\angle RPS = 67^\circ - 34^\circ = 33^\circ \)

Step2: Find \( m\angle QPT \)

We know that \( m\angle QPS = 96^\circ \) and we just found \( m\angle SPT = 33^\circ \). To find \( m\angle QPT \), we add \( m\angle QPS \) and \( m\angle SPT \):
\( m\angle QPT = m\angle QPS + m\angle SPT = 96^\circ + 33^\circ = 129^\circ \)

Answer:

\( 129 \)