SOLUTION: Determine the measure (in degrees) of the third angle in an isosceles triangle, if the third angle is 10 more than one-half of either of the equal measure angles. i know that

Question 363740: Determine the measure (in degrees) of the third angle in an isosceles triangle, if the third angle is 10 more than one-half of either of the equal measure angles.

i know that the isosceles triangle has two angles that are the same degree but i have no clue how to evn start this problem
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Determine the measure (in degrees) of the third angle in an isosceles triangle, if the third angle is 10 more than one-half of either of the equal measure angles.
--------------------
Let each of the equal angles be "x":
3rd angle is (1/2)x+10.
-----
Equation:
sum of angles = 180
x + x + (1/2)x + 10 = 180
(5/2)x = 170
x = (2/5)170
---
x = 2*34
x = 68 degrees
3rd angle: (1/2)x+10 = (1/2)68+10 = 44 degrees.
=============================
Cheers,
Stan H.
===============
RELATED QUESTIONS
Determine the measure (in degrees) of the third angle in an isosceles triangle, if the... (answered by checkley77)

Determine the measure (in degrees) of the third angle in an isosceles triangle, if the... (answered by jessica43)

Determine the measure (in degrees) of the third angle in an isosceles triangle, if the... (answered by mananth)

The third angle of an isosceles triangle is 8° more than twice as large as each base... (answered by ikleyn)

the third angle in an isosceles triangle is 8 degrees more than twice as large as each of (answered by cleomenius)

The measure of the third angle in an isosceles triangle is 60% greater than the measure... (answered by nerdybill)

The measure of the third angle in an isosceles triangle is 60% greater than the measure... (answered by checkley77,MathTherapy)

In any isosceles triangle two angles are equal. The third angle of a certain isosceles... (answered by richwmiller)

The smallest angle in a triangle is one-third of the largest angle. The third angle is 10 (answered by ewatrrr)