Question

1)=One of the angles of triangle is 65° ..If the difference of the remaining angles is 35°.then remaining angles are 75° and 40° .Justify!

2)= An exterior angle of triangle is 105° and it's two interior opposite angles are equal .Each of these equals angles is (52×1/2)°Justify!

Answer 1

a+b+65=180(Angle sum property)
a+b=115(1 equation)
a-b=35(2equation)
Add 1&2
a+b=115
a-b=35
-----------
2a=150
a=75
put the value of 'a' in equation 1
a+b=115
b=115-75
b=40
Therefore a=75,b=40
verified