Question

The sum of two angles of a triangle is equal to its third angle. Find the third angle
What type of triangle is it?​

Answer 1

Answer:90°

Right-angled triangle

Step-by-step explanation: Let the first angle be x and the second angle be y

Therefore the third angle will be (x+y) because according to the question the third angle is the sum of the first two angles

Now applying the angle sum property of a triangle, x+y+(x+y)=180°

x+x+y+y=180°

2x+2y=180°

2(x+y)=180°

x+y=180°/2

x+y=90°

Now we have got the sum of the first two angles of a triangle

As the third side is equal to the sum of first two angles, the third side will be equal to 90°

Therefore the triangle is a right-angled triangle as one angle is equal to 90°

HOPE IT HELPS