Question

look at this diagram: if qs and tv are parallel lines and m∠sru = 48°, what is m∠srp?

Explanation:

Step1: Identify angle relationship

∠SRU and ∠SRP are supplementary angles (they form a linear pair, so their sum is \( 180^\circ \)).

Step2: Calculate \( m\angle SRP \)

Using the supplementary angle formula: \( m\angle SRP = 180^\circ - m\angle SRU \).
Substitute \( m\angle SRU = 48^\circ \): \( m\angle SRP = 180^\circ - 48^\circ = 132^\circ \).

Answer:

\( 132^\circ \)