Question

The angles of a triangle are in the ratio 2:3 and the third angle is 2/3 of a right angle. Find all angles in degrees.​

Answer 1

Answer:

Angles are 60 , 48 , 72

Step-by-step explanation:

Third angle = $\frac{2}{3}$ of right angle

                   $=\frac{2}{3}*90\\\\=2*30\\\\= 60$

Ratio of two angles = 2 : 3

The two angles are 2x , 3x

2x + 3x + 60 = 180  {Angle sum property of triangle}

       5x + 60 = 180    {Subtract 60 from both sides}

             5x = 180 - 60

              5x = 120

                x = 120/5

x = 24

2x = 2* 24 = 48

3x = 3*24 = 72

Answer 2

Let the angles be 2x, 3x and (2/3)×90

ATQ

2x + 3x + (2/3)×90 = 180

5x + 60 = 180

5x = 180 - 60

x = 120/5

x = 24

Therefore the angles are

48, 72 and 60 respectively

Answered by Gauthmath must click thanks and mark brainliest