brezzonpro
Calculators
General
Algebra
Geometry
Coordinate-geometry
Statistics
Calculus
Qna
Math
brezzonpro
brezzonpro
Home
General
Algebra
Geometry
Coordinate-geometry
Statistics
Calculus
Qna
Math
MATH SOLVE
Home
General
If m angle ECD is six less than five times m angle BCE, and mangle BCD = 162º. find eachmeasure.
4 months ago
Q:
If m angle ECD is six less than five times m angle BCE, and mangle BCD = 162º. find eachmeasure.
Accepted Solution
A:
Answer:see explanationStep-by-step explanation:let ∠BCE = x then ∠ECD = 5x - 6 and∠BCE + ∠ECD = ∠BCD, substitute valuesx + 5x - 6 = 162, that is6x - 6 = 162 ( add 6 to both sides )6x = 168 ( divide both sides by 6 )x = 28Hence ∠BCE = x = 28°∠ECD = 5x - 6 = (5 × 28) - 6 = 140 - 6 = 134°