ciaraaaaaa11 ciaraaaaaa11
  • 12-07-2022
  • Mathematics
contestada

find x and y.

pls pls help

find x and y pls pls help class=

Respuesta :

jimrgrant1 jimrgrant1
  • 12-07-2022

Answer:

x = 65 , y = 64

Step-by-step explanation:

y - 16 and 2y + 4 are same- side interior angles and sum to 180° , that is

y - 16 + 2y + 4 = 180

3y - 12 = 180 ( add 12 to both sides )

3y = 192 ( divide both sides by 3 )

y = 64

then

2y + 4 = 2(64) + 4 = 128 + 4 = 132

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

2y + 4 is an exterior angle of the triangle , then

x + 67 = 132 ( subtract 67 from both sides )

x = 65

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