Question

The exterior angle of a triangle is 98 degree and one of the interior opposite angle is 52 degree . Find other angles of the triangle

Answer 1

Step-by-step explanation:

Given, Exterior angle= 98°

One interior Angle = 52°

Now this interior Angle cannot be adjacent to exterior angle as their sum is not 180°

Therefore, it must be opposite of exterior angle,

Now let another opposite interior angle is 'x' and adjacent interior angle is 'y'

Using Property,

Sum of opposite interior angle= Exterior angle

x+52=98

=> x= 46°

Using angle sum property

x+y+52= 180

=> 98+y= 180

=> y= 82°