SOLUTION: △ D E F , m ∠ D = 2 x + 3 , m ∠ E = 5 x , a n d m ∠ F = 4 x + 1. find the measure of x m ∠ D m ∠ E m ∠ F

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Question 1170312: △ D E F , m ∠ D = 2 x + 3 , m ∠ E = 5 x , a n d m ∠ F = 4 x + 1.

find the measure of
x
m ∠ D
m ∠ E
m ∠ F

Found 2 solutions by Boreal, MathLover1:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
The sum of the angles is 180 degrees
2x+3+5x+4x+1=180
11x+4=180
11x=176
x=16 degrees
so
Angle D is 35 degrees
angle E is 80 degrees
angle F is 65 degrees

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

the sum of all angles in △ is
if
,
, a n d

we have
......solve for






the measure of
=>
=>
=>


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