The given pairs of triangles are congruent, therefore:
31. SOLVING FOR x:
10x = 2x + 8
10x - 2x = 8
8x = 8
x = 1
SOLVING FOR y: (substituting x = 1)
y + 2x = 10x - y
y + y = 10x - 2x
2y = 8x (substitute x = 1)
2y = 8(1)
2y = 8
y = 4
32. 7x - 4 = 4x + 8
7x - 4x = 8 + 4
3x = 12
x = 4
33. 6x - 150 = x
6x - x = 150
5x = 150
x = 30°
34. m<A = 180° - (90° + 25°)
= 180° - 115°
m<A = 65°
35. 2y + 5 = 25
2y = 25 - 5
2y = 20
y = 10
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The given pairs of triangles are congruent, therefore:
31. SOLVING FOR x:
10x = 2x + 8
10x - 2x = 8
8x = 8
x = 1
SOLVING FOR y: (substituting x = 1)
y + 2x = 10x - y
y + y = 10x - 2x
2y = 8x (substitute x = 1)
2y = 8(1)
2y = 8
y = 4
32. 7x - 4 = 4x + 8
7x - 4x = 8 + 4
3x = 12
x = 4
33. 6x - 150 = x
6x - x = 150
5x = 150
x = 30°
34. m<A = 180° - (90° + 25°)
= 180° - 115°
m<A = 65°
35. 2y + 5 = 25
2y = 25 - 5
2y = 20
y = 10