alexwawall alexwawall
  • 12-02-2021
  • Mathematics
contestada

Find the value of x y and m

Find the value of x y and m class=
Find the value of x y and m class=

Respuesta :

akposevictor
akposevictor akposevictor
  • 17-02-2021

Answer:

x = 33

y = 66

m<BGK = 71°

Step-by-step explanation:

✔️(2x + 5) + (3x + 10) = 180° (consecutive interior angles)

Solve for x

2x + 5 + 3x + 10 = 180

Add like terms

5x + 15 = 180

5x = 180 - 15 (subtraction property of equality)

5x = 165

Divide both sides by 5

x = 33

✔️(2x + 5) = (y + 5) (alternate interior angles are congruent)

Plug in the value of x

2(33) + 5 = y + 5

66 + 5 = y + 5

71 = y + 5

71 - 5 = y

66 = y

y = 66

✔️m<BGK = (y + 5) (vertical angles)

Plug in the value of y

m<BGK = (66 + 5)

m<BGK = 71°

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