Question

SUP= 125 UPE=110 SRE=85 find SUR

Answer 1

m∠SUR = 15°

Explanation:

m∠UPE = 110°

m∠UPR = m∠EPR [Given]

m∠UPR =
`(1)/(2)(m\angle UPE)`

=
`(1)/(2)(110)`

= 55°

Since, m∠SRU = m∠UPR [Given in the picture]

m∠SRU = 55°

m∠SRE = m∠SRU + m∠URP + m∠PRE

85° = 55° + m∠URP + m∠PRE

m∠URP + m∠PRE = 30°

Since, m∠URP = m∠PRE

m∠URP + m∠URP = 30°

m∠URP = 15°

Since, m∠URP = m∠SUR [Given in he picture]

m∠SUR = 15°