Question

If one of a triangles is equal to the sum of other two Angle show that the triangle a right triangles

Answer 1

Answer:

The angles in a triangle add up to 180 degrees. So if your triangle is such that one angle( call it x) is equal to the sum of the two ( a+b) angles then two conditions must be met:

Step-by-step explanation:

1.x = a+b

2. x+a+b=180

this means 2x=180

thus x = 90 degrees.

so a+b = 90. so a and b can take any values that sum to 90 eg (42, 48) (60,30) (70,20) etc. In other words a and b are complementary. The triangle is a right-angled triangle