Question

One angle of a triangle is 65. Find the remaining two angles, if the difference is 25

Answer 1

let other 2 angles are x,y

total sum of angles are

65+x+y=180

y=x+25

65+x+x+25=180

2x=180-90

x=45degree

so,one angle is 45degree,other angle is 70degree

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Answer 2

hi there mate!!!!

Solution:

Let the other two angles be x and y.

now,

65+ x+ y= 180

x+y= 180-65

x+y= 115 ......(1)

according to the second condition,

x-y= 25.....(2)

now,

added in both equations,

x+y= 115

+x-y= 25

2x = 140

x= 140/2= 70

substituting value of x in (2),

x-y= 25

70-y= 25

-y= 25-70

-y= -45

y= 45

hence,

the other two angles are 70 and 45

checking:

sum of angles in a triangle= 180°

70+ 65+ 45= 180°

135+45= 180°

180°= 180°

hope this helps!! ❤☺☺