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

Answer:

Step-by-step explanation:

Plz refer to the attached image.

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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.