avihatwal
avihatwal avihatwal
  • 15-12-2021
  • Mathematics
contestada

plz tell this help plz ​

plz tell this help plz class=

Respuesta :

jimrgrant1 jimrgrant1
  • 15-12-2021

Answer:

15°, 15° , 150°

Step-by-step explanation:

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

2y + 20 is an exterior angle of the triangle , then

2y + 20 = 2y + 5 + y + 10

2y + 20 = 3y + 15 ( subtract 3y from both sides )

- y + 20 = 15 ( subtract 20 from both sides )

- y = - 5 ( multiply both sides by - 1 )

y = 5

Then

∠ A = 2y + 5 = 2(5) + 5 = 10 + 5 = 15°

∠ B = y + 10 = 5 + 10 = 15°

∠ C = 180° - 15° - 15° ( sum of angles in Δ = 180° )

∠ C = 180° - 30° = 150°

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