The difference between two angles of a triangle is 21° while their sum is 105°. Find the measures of all the angle of the triangle.
The difference between two angles of a triangle is 21° while their sum is 105°. Find the measures of all the angle of the triangle.
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Answer:
Step-by-step explanation:
According to the question
x-y=21 (1)
x+y=105 (2)
(1)+(2)
x+x+(-y)+y=105+21
2x-y+y=126
2x=126
x=126/2
x=63
putting x=63 in (2) we get
x+y=105
63+y=105
y=105-63
y=42
VERIFICATION
we were given x-y=21
putting x=63 and y=42 we get
63-42=21
21=21 HENCE VERIFIED
also
x+y=105
puttingx=63 and y=42 we get
63+42=105
105=105 HENCE VERIFIED
BOTH THE VALUES OF X AND Y ARE CORRECT
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