Question

one of the angles of triangle is 65°. if the difference of the other two angles is 25°, then they are: ​

Answer 1

Let the other two angles be x and x+25. ( since difference between the two numbers =25)

=According to the question,

= 65+x+(x+25)=180(Sum of all angles in a triangle =180)

=65+x+x+25=180

=65+2x+25=180

=90+2x=180

=2x=180-90

=2x=90

=x=90/2

=x=45 degrees

Therefore, the other two numbers=x,x+25

=45,45+25

=45,70

Thus, the three angles are 65 degrees,45 degrees,70 degrees.

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