Question

the vertex angle of an isosceles angle is 40°, find other two angles. ​

Answer 1

Answer:

the 3 angles= 40° and x°and x°

2x+40°=180°=2x=140° x=70°

Answer 2

Given

• Vertex angle of an isosceles triangle = 40°

To find

• The remaining two angles

Solution

In the given triangle, vertex angle is 40°, that means one of the angle in the triangle is 40°, we shall find the remaining angles.

We know that sum of all the angles in a triangle is equal to 180°, so we can apply angle sum property and find the other two angles.

• 40° + x + x = 180°   (x , x - other two angles)
• 40° + 2x = 180°
• 2x° = 180° - 40°
• 2x° = 140°
• x° = 140°/2
• x° = 70°

∴ The remaining two angles are 70° , 70°

We can verify by using angles sum property again, 70° + 70° + 40° should be equal to 180°

• 70° + 70° + 40° = 180°
• 180° = 180°
• L.H.S = R.H.S