In the diagram shown, it is known that segment RP is perpendicular to segment QS and segment RP bisects angle SRQ. If measure an
1 answer:
*attachment contains the missing diagram
Answer/Step-by-step explanation:
Given that RP ⟂ QS, <RPS is a right angle.
Therefore, m<RPS = 90°
Since RP bisects <SRQ, therefore m<PRS = ½ of m<SRQ.
Therefore:
m<PRS = ½*104°
m<PRS = 52°
m<S + m<RPS + m<PRS = 180° (sum of ∆)
m<S + 90° + 52° = 180° (substitution)
m<S + 142 = 180°
Subtract 142 from each side
m<S = 180° - 142°
m<S = 38°
You might be interested in