In an isosceles triangle the verticle angle is 40° find the other two angle of the Triangle
(180 - 40)/2 = ?
http://study.com/academy/lesson/vertex-angle-of-an-isosceles-triangle.html
To find the other two angles of an isosceles triangle when one angle is known, you need to remember that in an isosceles triangle, the two base angles are equal.
Let's label the three angles of the triangle as follows:
- The vertical angle or the apex angle (angle at the top) = 40°
- The two base angles (angle at the bottom) = x (since they are equal, we can label both angles x)
Since the sum of the angles in any triangle is 180°, we can set up an equation to find the value of x:
Angle1 + Angle2 + Angle3 = 180°
40° + x + x = 180°
Combine the x terms:
40° + 2x = 180°
Now, isolate the x term:
2x = 180° - 40°
2x = 140°
Finally, solve for x:
x = 140° / 2
x = 70°
Therefore, both base angles of the isosceles triangle are 70°, and the vertical angle is 40°.