akatlisilva35
akatlisilva35 akatlisilva35
  • 21-11-2019
  • Mathematics
contestada

Find the value of each variable. Write an
equation then solve showing ALL the work
A2x+10°

Find the value of each variable Write an equation then solve showing ALL the work A2x10 class=

Respuesta :

TaeKwonDoIsDead
TaeKwonDoIsDead TaeKwonDoIsDead
  • 28-11-2019

Answer:

x = 25

Step-by-step explanation:

The three straight lines in the sides of the triangle means that ALL 3 SIDES ARE EQUAL.

This is an equilateral triangle. So all 3 angles are equal.

We know sum of 3 angles in a triangle is 180. Since 3 of the angles are equal, each angle is:

180/3 = 60

The top angle is given as "2x + 10", thus we can say "2x + 10" is equal to 60 degrees. Now we equate and solve for x:

[tex]2x+10=60\\2x=60-10\\2x=50\\x=\frac{50}{2}\\x=25[/tex]

The value of x is 25

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