206k views
15 votes
Given m
11
n, find the value of x.
m
n
(6x+19)°
\(4x+11°

Given m 11 n, find the value of x. m n (6x+19)° \(4x+11°-example-1
User Esengineer
by
5.1k points

1 Answer

10 votes

Answer:

x = 15

Explanation:

(4x + 11)° is suplementary angle to angle corresponding to (6x + 19)° angle

Therefore:

m║n ⇒ (4x + 11)° = 180° - (6x + 19)°

(4x)° + 11° = 180° - (6x)° + 19° {add (6x)° to both sides}

(10x)° + 11° = 161° {subtract 11° from both sides}

(10x)° = 150° {divide both sides by 10°}

x = 15

User Pztar
by
5.9k points
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