cowboycomb
Calculators
General
Algebra
Geometry
Coordinate-geometry
Statistics
Calculus
Qna
Math
cowboycomb
cowboycomb
Home
General
Algebra
Geometry
Coordinate-geometry
Statistics
Calculus
Qna
Math
MATH SOLVE
Home
General
Use the diagram to find the measure of the given angle. Given angle: PRQ
4 months ago
Q:
Use the diagram to find the measure of the given angle. Given angle: PRQ
Accepted Solution
A:
Answer:∠PRQ = 85°Step-by-step explanation:∠PRS and ∠TRQ are vertical angles and congruent, thus4x + 15 = 3x + 35 ( subtract 3x from both sides )x + 15 = 35 ( subtract 15 from both sides )x = 20Hence ∠PRS = (3 × 20) + 35 = 60 + 35 = 95°∠PRQ and ∠PRS form a straight angle and are supplementary, hence∠PRQ = 180° - 95° = 85°