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habibatarek
  • if R+M=90
  • and you know the values of both of them you will simply substitute them with their values and answer the question in the form of an equation as shown in the photo
Ver imagen habibatarek
akposevictor

The value of x is 5.

Given:

  • angle M + angle R = 90°
  • angle M = (5x+10)°
  • angle R = 55°

Recall:

  • Two angles that add up to give you 90°, is a complementary angle.

Thus,

  • Since angle M and angle R sum up to give 90°, they are complementary angles.

The following equation can be created to solve for the value of x:

[tex]m\angle R + m\angle M = 90[/tex]

  • Substitute

[tex]55 + 5x+10 = 90\\[/tex]

  • Add like terms

[tex]5x + 65 = 90[/tex]

  • Subtract 65 from both sides

[tex]5x = 90 - 65\\\\5x = 25[/tex]

  • Divide both sides by 5

[tex]x = 5[/tex]

Therefore, the value of x is 5

Learn more here:

https://brainly.com/question/15592900

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