connermichaela connermichaela
  • 26-02-2019
  • Mathematics
contestada

*Twenty points! Please help!*

If l||m and m∠6 = 4x - 15 and m∠7 = x + 30, then m∠6 =


a. 15


b. 35


c. 39


d. 45

Twenty points Please helpIf lm and m6 4x 15 and m7 x 30 then m6 a 15b 35c 39d 45 class=

Respuesta :

MrSmoot MrSmoot
  • 26-02-2019

Answer:

d. 45°

Step-by-step explanation:

The angles are alternate interior angles, so they are equal in measure.  So

m∠6 = m∠7

so

4x - 15 = x + 30       now solve for x

  4x - x = 30 + 15              

   3x = 45

 

      x = 15

But 15 isn't the measure of angle 6, it's just the x value, so plug 15 in to solve for angle 6

m∠6 = 4(15) - 15

   

      m∠6 = 60 - 15 = 45°

Answer Link
sraft
sraft sraft
  • 14-10-2019

Answer:

d 45

Step-by-step explanation:

45°......................

Answer Link

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