One of the angles of a triangle is 65°. How do you find the remaining two angles if their difference is 25°?

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Answer 1 · 2018-01-10T06:21:59

Remaining two angles are #color(blue)(B = 70^0 and C = = 45^0)#

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Let the three angles be A, B, C

Given# A = 65^0#, #B - C = 25^0#

#C = B - 25#

Sum of the three angles of a triangle is #180^0#

#A + B + C = 180^0#

#65 + B + (B - 25) = 180#

#2B = 180 - 65 + 25 = 140# or

#color(blue)(B) = 140 / 2 = color(blue)(70^0)#

#color(blue)(C) = B - 25 = 70 - 25 = color (blue)(45^0)#

Remaining two angles are #color(blue)(B = 70^0 and C = = 45^0)#