Question

if one angle of a triangle is equal to the sum of the other two, show that the triangle is right - angled.

Answer 1

Step-by-step explanation:

LET THE ANGLES BE x,y,z

THEREFORE x+y+z=180 ............(angle sum prop)....1

a

ALSO IT IS GIVEN THAT

x=y+z........2

SUBSTITUTING 1 IN 2

2y+2z = 180

y+z=90..........3

SUBSTITUTING 3 IN 2

X = 90

Answer 2

Answer:

Let the angles of triangle be x

one angles of a triangle is equal to the sum of other two so ( x+x) will be first angle

ATQ

( x +x) +x+x = 180 ( sum of all angles of triangle =180)

2x +x +x = 180

4x = 180

x = 180 / 4

x = 45°

therefore

first angle = x + x

= 45 + 45

= 90°

Second angle = 45°

third angle = 45°

one angle = 90°

Hence, prooved.