The Vertical Angle Of An Isosceles Triangle Is 100°. Find It's Base Angles.
The Vertical Angle Of An Isosceles Triangle Is 100°. Find It's Base Angles.
Solution:
In an isosceles triangle, base angles are equal. Let the base angles be x and x.
The vertical angle of the triangle = 100°
Sum of angles in the isosceles triangle = x + x + 100° = 180°
2x + 100° = 180°
2x = 180° - 100° = 80°
x = 80°/2 = 40°
So base angles of the isosceles triangle are 40°, 40°
Related Articles
- The vertical angle of an isosceles triangle is 100 degree. Find its base angles.
- The vertical angle of an isosceles triangle is $100^o$. Find its base angles.
- The ratio between a base angle and the vertical angle of an isosceles triangle is 1:4. Find each angle of the triangle.
- In an isosceles triangle, the base angles are equal. The vertex angle is 50°. What are the base angles of the triangle?
- In an isosceles triangle, if the vertex angle is twice the sum of the base angles, calculate the angles of the triangle.
- In an isosceles triangle, the vertex angle is twice either base angle. Find the angles, and represent the situation as an equation.
- If the bisector of the exterior vertical angle of a triangle be parallel to the base. Show that the triangle is isosceles.
- Triangle PQR is an isosceles triangle with PQ = PR. If angle R = 42 degree , find the measure of angle P
- If the bisectors of the base angles of a triangle enclose an angle of $135^o$. Prove that the triangle is a right triangle.
- The measures of three angles of a triangle form an AP. If the greatest angle is twice the smallest angle, find all the angles of the triangle.
- Which of the following statements are true (T) and which are false (F):If the bisector of the vertical angle of a triangle bisects the base, then the triangle may be isosceles.
- If the base of an isosceles triangle is produced on both sides, prove that the exterior angles so formed are equal to each other.
- The angles of a triangle are in A.P. The greatest angle is twice the least. Find all the angles of the triangle.
- Two angles of a triangle are in ration 4:5. If the sum of these angle is equal to the angle, find the angles of the triangle
- What is an Isosceles triangle?
Kickstart Your Career
Get certified by completing the course
Get Started