Question

TWO ANGLE OF A TRINGALE ARE IN THE RATIO 1:2. IF THE SUM OF THESE ANGLES IS EQUAL TO THE THIRD ANGLE, FIND THE ANGLES OF THE TRIANGLE. WHAT KIND OF TRIANGLE IS IT? ALSO CLASIFY THE TRIANGLE AS ACUTE, OBTUSE, RIGHT, SCALENE, ISOSCELES OR EQUILATERAL. ​

Answer 1

Answer:

30°, 60°, 90°, Right-angled triangle

Step-by-step explanation:

Given that first and second angles of triangle are in ratio of 1:2

So, let first angle be x and second angle be 2x

Given that sum of first and second angles of triangle is the third angle

So, third angle = x + 2x = 3x

We know that the sum of angles in a triangle is 180°

⇒ x + 2x + 3x = 180°

⇒ 6x = 180°

⇒ x = 180°/6

⇒ x = 30°

So,

     First angle = 30°

     Second angle = 2 x 30° = 60°

     Third angle = 3 x 30° = 90°

As one of the angles is a right angle, the triangle is a right-angled triangle

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Answer 2

Answer:

let the two angles of the triangle = 2x and 1x

there third angle of the triangle = 2x + x = 3x

sum of all angles in triangle is 180

therefore 2x+1x+3x = 180

therefore x = 30

therefore 2x = 2×30=60°

1X = 1 × 30 = 30°

3x = 3× 30 = 90°

therefore the triangle is in right angke