find the measure of ∠tus. m∠tus =
find the measure of ∠tus. m∠tus =
Answer
Explanation:
Step1: Identify angle - relationship
Assume (PQ\parallel RS), then ((55 - x)^{\circ}) and ((63 - 3x)^{\circ}) are corresponding angles, so (55 - x=63 - 3x).
Step2: Solve the equation for (x)
Add (3x) to both sides: (55 - x+3x=63 - 3x+3x), which simplifies to (55 + 2x=63). Then subtract 55 from both sides: (2x=63 - 55), so (2x = 8), and (x = 4).
Step3: Find the measure of (\angle TUS)
Substitute (x = 4) into the expression for (\angle TUS=(63 - 3x)^{\circ}). Then (\angle TUS=63-3\times4=63 - 12=51^{\circ}).
Answer:
(51)