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

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

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Question 638246: One of the angle of a triangle is 65. Find the remaining two angles if their difference is 25
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
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
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