Question

11. If one angle of a triangle is equal to the sum of the other two, show tha
the triangle is right angled. with fig...​

Answer 1

Step-by-step explanation:

Let angle 1 be x

and let angle 2 be y

so,angle3=x+y

now,x+y+(x+y)=180(angle sum property)

2x+2y=180

x+y=180/2

x+y =90

so , angle 3=90 degree

hence the triangle is right angled

Answer 2

Step-by-step explanation:

here in first line i wrote equation of the statement written in the question i.e. one of the angle of the triangle is equals to sum of other 2

Next due to angle sum property of triangle we can equate the above eq like the way i did

refer image for further explanations