Question

The exterior angle obtained on producing the base of a triangle at both ways are 105° and 135°. Find all the angles

Answer 1

one angle of triangle is x
other angle is y
so x=180-105=75
y=180-135=45
therefore another angle be z
x+y+z=180
75+45+z=180
120+z =180
z=180-120
z=60
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Answer 2

Angle B = 180 - 135 (linear pair)
=45

Angle C = 180 - 105 (linear pair)
=75

Angle A = 180 - 75 - 45 (angle some property)
=60

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