SOLUTION: If one angle of an equiangular triangle is bisected, find all the angles in the two triangles thus formed.

Question 1039012: If one angle of an equiangular triangle is bisected, find all the angles in the two triangles thus formed.
Found 2 solutions by josgarithmetic, JulietG:
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
Draw the figure and think about its parts. This forms two special 30-60-90 triangles.
Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
In an equiangular triangle, all angles are 60 degrees, like a traffic sign. If you cut it in half down the middle, now you have the same 60 degree angle that was there before plus a right angle at the base of the bisection (like two sailboat sails). 60 + 90 = 150. Since a triangle has 180 degrees, the resulting angle must be 30.
.
The bisected triangles each contain a 30, 60, and 90 degree angle.
RELATED QUESTIONS
If an angle is bisected into two angles that each measure 42�. What is the measure of the (answered by stanbon)
an angle measuring 85 degrees is bisected. What is the measure of the angles that are... (answered by Alan3354)
If an 80-degree angle is bisected and then each new angle is bisected, what is the... (answered by feliz1965)
If an 80-degree angle is bisected and then each new angle is bisected, what is the... (answered by nyc_function)
In a triangle. The one angle of triangle is two times smallest an another three times... (answered by MathLover1)
In an isosceles triangle, one angle is 42 degrees greater than the other two angles. Find (answered by rfer)
In an isosceles triangle, one angle is 42 degrees greater than the other two equal... (answered by rfer)
1. If one of the legs of a right triangle is three times the other and the perimeter of... (answered by josgarithmetic,math_tutor2020)
Fundamental Ideas Points, Lines, and Planes Postulates and Theorems Segments,... (answered by richard1234)