Respuesta :

Answer:

76

Step-by-step explanation:

to understand this

you need to know about:

  • triangles
  • equation
  • PEMDAS

given:

  • [tex]M\angle T=2x+2[/tex]
  • [tex]M\angle R=3x+1[/tex]

tips and formulas:

  • this is an isosceles triangle since two sides are equal therefore [tex]\angle T=\angle S[/tex]
  • a triangle contains 180°

let's solve:

according to the question

2x+2+2x+2+3x+1=180

solve:

  1. collect like terms:7x+5=180
  2. substract 5 from both sides:=>7x+5-5=180-5=>7x=175
  3. divide both sides by 7: =>7x/7=175/7
  • x=25

given:

M∠R=3x+1

substitute the value of x

3×25+1

75+1

76

Answer:

M∠R=76°

Step-by-step explanation:

First, I realized that ∠S was equal to ∠T, meaning ∠S=2x+2. I then added all 3 angles together and set them equal to 180, seeing the angles of a triangle must add up to 180 (2x+2+2x+2+3x+1=7x+5=180)

After that, I subtracted 5 from 180 and then divided by 7 to get x=25. I then solved the equation 3x+1 by plugging 25 in for x and ended up with 76 as my final answer.

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