Question

If the angles of a scalene triangle are x, 40° + 2x and 2x – 15°, then find all the
angles of the triangle.​

Answer 1

• x+40°+2x+2x-15°=180°[angle sum property of triangles]
• 5x+25°=180°
• 5x=180°-25°
• 5x=155°
• x=155°/5
• x=31°
• Therefore angles are 31°, 40°+2(31°)=102°, 2(31°) -15°=47°.

Answer 2

Answer:

All the angles of the triangles are as follows --

• 31°

• 102°

• 47°

Step-by-step explanation:

We know that all the angles of a triangle sum up to 180°.

Therefore,

x + 2x + 40 + 2x - 15 = 180°

5x + 25 = 180°

5x = 180 - 25

5x = 155

x = 31°

Hope this helps