11.If the interior angles of a triangle are 15x°, 15(x + y)° and 25y° and , and the relation between x and y is given by 5x - 4y + 2 = 0 , then what is the measure of the smallest angle of the triangle?
Answers
Step-by-step explanation:
15x°+15(x+y)°+25y°= 180°
15x°+15(x+y)°+25y°= 180°15x° + 15x°+ 15y° + 25y° = 180°
15x°+15(x+y)°+25y°= 180°15x° + 15x°+ 15y° + 25y° = 180°30x°+ 40y°= 180°
15x°+15(x+y)°+25y°= 180°15x° + 15x°+ 15y° + 25y° = 180°30x°+ 40y°= 180°3y° + 4y° = 18°
15x°+15(x+y)°+25y°= 180°15x° + 15x°+ 15y° + 25y° = 180°30x°+ 40y°= 180°3y° + 4y° = 18°3x+ 4y= 18 .............1
15x°+15(x+y)°+25y°= 180°15x° + 15x°+ 15y° + 25y° = 180°30x°+ 40y°= 180°3y° + 4y° = 18°3x+ 4y= 18 .............15x- 4y+2
15x°+15(x+y)°+25y°= 180°15x° + 15x°+ 15y° + 25y° = 180°30x°+ 40y°= 180°3y° + 4y° = 18°3x+ 4y= 18 .............15x- 4y+25x-4y = -2...........2
15x°+15(x+y)°+25y°= 180°15x° + 15x°+ 15y° + 25y° = 180°30x°+ 40y°= 180°3y° + 4y° = 18°3x+ 4y= 18 .............15x- 4y+25x-4y = -2...........2 from equation1 and 2
15x°+15(x+y)°+25y°= 180°15x° + 15x°+ 15y° + 25y° = 180°30x°+ 40y°= 180°3y° + 4y° = 18°3x+ 4y= 18 .............15x- 4y+25x-4y = -2...........2 from equation1 and 23x+4y=18
15x°+15(x+y)°+25y°= 180°15x° + 15x°+ 15y° + 25y° = 180°30x°+ 40y°= 180°3y° + 4y° = 18°3x+ 4y= 18 .............15x- 4y+25x-4y = -2...........2 from equation1 and 23x+4y=185x-4y=-2
______________
8x= 16
x= 16/8
x=2
from equation 1
5×2-4y= -2
10-4y =-2
10+2=4y
12=4y
y=12/4
y= 3
now
15x°=15×2=30°
15(x+y)°=15(2+3)°=75°
25y°=25×3=75°
smallest angle of triangle is 30°