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10. In the figure, m angle1 = (8x + 7)º, m Angle2 = (4x + 14),
and m angle4 = (13x + 12)°. Your friend incorrectly
says that m angle4 = 51°. What is m Angle4? What
mistake might your friend have made?

Respuesta :

MrRoyal

Corresponding angles are congruent, and they have equal measure

  • The value of angle 4 is 129 degrees
  • Your friend used the wrong theorem

How to determine the value of angle 4

From the figure, we have:

Angle 4 = Angle 1 + Angle 2

So, the equation becomes

13x + 12 = 8x + 7 + 4x + 14

Collect like terms

13x - 8x - 4x = 7 + 14 - 12

Evaluate the like terms

x = 9

From the question, we have:

Angle 4 =13x + 12

So, we have:

Angle 4 = 13 * 9 + 12

Evaluate

Angle 4 = 129

Hence, the value of angle 4 is 129 degrees

Read more about corresponding angles at:

https://brainly.com/question/26167358