Question

If one angle of a triangle is equal to the sum of the other two show that the triangle is a right triangle find solutions

Answer 1

Let first angle=x and second angle=y then according to question third angle=x+y so,. According to angle theorem of triangle (first angle)+(second angle)+(third angle). (x)+(y)+(x+y)=180°. 2x+2y=180°.means x+y=90 since, third angle of triangle is 90° Hence ∆ is a right angle triangle.(proved)

Answer 2

Let the 2 equal angles be = x
then, 2x = 180
x = 180÷ 2
x = 90
therefore the triangle is right angle triangle