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M and N are the midpoints of side AB and AC of triangle ABC 1.If MN=2 x-5 and BC = X + 2, find x 2. If angle AMN=(2y + 25) and Angle B = (3Y - 5), find Y and Angle B

M and N are the midpoints of side AB and AC of triangle ABC
1.If MN=2 x-5 and BC = X + 2, find x
2. If angle AMN=(2y + 25) and Angle B = (3Y - 5), find Y and Angle B

Grade:9

3 Answers

Vikas TU
14149 Points
one year ago
Dear student 
According to midpoint theorem 
MN = ½ BC 
So, 2x -5 = ½ (x+2) 
4x – 10 = x+ 2 
3x = 12 
x = 4 
ii). Angle AMN is appx equal to B 
So , 2y +5 = 3y -5 
y = 10 
 
Vikas TU
14149 Points
one year ago
Dear student 
Angle B would be equal to 
30 -5 = 25 degree 
Hope this helps ….....................
Good Luck 
Aditya Gupta
2075 Points
one year ago
hello student, once again the answer by vikas for the 2nd part is wrong and immature.
we know by mid pt theorem that angle B= angle AMN.
so, 2y+25 = 3y – 5
or y= 30
now, B= 3y – 5
= 90 – 5
or B= 85
kindly approve :)

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