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Answer :
Given :
- A triangle is right angled at point A
- The measure of exterior angle is 145
To find :
- The measure of all angles
Solution :
As we know that the triangle ABC is right angled at point A . The measure of Angle BAC will be 90.
So now , by exterior angle property we have ,
= Angle BAC + Angle ABC = Angle BCX
= 90° + Angle ABC = 145°
= Angle ABC = 145 - 90
= Angle ABC = 55°
Now by angle sum property we get ,
= Angle ABC + Angle BAC + Angle BCA = 180°
= 55° + 90° + Angle BCA = 180°
= Angle BCA = 180 - 145
= Angle BCA = 35°
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