Question

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.​

Answer 1

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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