8. In a triangle ABC, A - B = 15°, B-C = 30°. Find the measures of each
angle of the triangle.
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Answer:
A=80
B=65
C=35
Step-by-step explanation:
Let us assume A, B, C are x, y,z respectively
So, x-y=15
therefore, x=15+y
y-z=30
therefore, z=y-30
As we know total angle of triangle is 180° always
So,
x+y+z=180°
put the value of x and z
15+y+y+y-30=180
3y-15=180
3y=195
y=65
Now put the value
x=15+y
x=15+65
x=80
y-z=30
65-z=30
z=35
hence A=80,B=65,C=35
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