SOLUTION: What is the measure of the angle formed by the bisectors of two angles of an equilateral triangle?
Algebra.Com
Question 932490: What is the measure of the angle formed by the bisectors of two angles of an equilateral triangle?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
recall properties:
-The interior angles of a triangle always add up to .°
-Because the interior angles always add to °, every angle must be less than °
-The of the three interior angles meet at a point, called the , which is the center of the of the triangle.
by definition an equilateral triangle is a triangle which has all three of its sides in , and all three angles of an equilateral triangle are always °
in an equilateral triangle, the median, angle bisector, and altitude are equal also, they intersect at point , the center of the inscribed and circumscribed circle
each of the angles are divided by the bisector (a line which cuts an angle into two equal halves ) in two angles of °
if the intersection of two bisectors is point , and a triangle ,
a triangle formed by two bisectors and one side of triangle is and angle
so,the measure of the angle is:
< °
RELATED QUESTIONS
Two consecutive angles of a regular octagon are bisected. What is the degree measure of... (answered by ikleyn)
Directions: Set up and complete a proof of the statement.
If a triangle is isosceles,... (answered by Nate)
What is the measure of an angle in an equilateral triangle? (answered by Alan3354,rfer)
An equilateral triangle has an angle measure of 30x what is the value... (answered by jim_thompson5910)
Given that Triangle FGH is an equilateral triangle, what is the measure of an acute angle (answered by neatmath)
What is the measure of each exterior angle of an equilateral... (answered by KMST)
What is the measure of each angle in an equilateral triangle... (answered by rfer)
What is 180 less than the measure of one interior angle in an equilateral... (answered by josmiceli)
if two angles of the triangle measure 54, what is the measure of the third... (answered by nerdybill)