Question

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

Answer 1

Click here to see ALL problems on TrianglesQuestion 638246: One of the angle of a triangle is 65. Find the remaining two angles if their difference is 25 
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Call the unknown angles  and 
The angles of a triangle always add up to 180 degrees, so
(1) 
also given is
(2) 
---------------
(2) 
Substitute this into (1)
(1) 
(1) 

(1) 
(1) 
and, since
(2) 
(2) 
(2) 
The remaining angles are 45 and 70 degrees
check:
(1) 
(1) 
(1) 
OK

Answer 2

one angle is 70 and second is45