Pulsefire Pulsefire
  • 13-10-2023
  • Mathematics
High School

Solve for a

T

U

4x 10

12x + 151

S

Solve for a T U 4x 10 12x 151 S

Answer :

jimrgrant1 jimrgrant1
  • 02-02-2025

Answer:

x = 10

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

12x + 15 is an exterior angle of the triangle , then

12x + 15 = 4x + 10 + 85 , that is

12x + 15 = 4x + 95 ( subtract 4x from both sides )

8x + 15 = 95 ( subtract 15 from both sides )

8x = 80 ( divide both sides by 8 )

x = 10

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