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Sagot :
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:
- collect like terms:7x+5=180
- substract 5 from both sides:=>7x+5-5=180-5=>7x=175
- 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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