SOLUTION: In the following triangle, the degree measures of the three interior angles and two of the exterior angles are represented with variables. Find the measure of each interior an angl
Algebra.Com
Question 923729: In the following triangle, the degree measures of the three interior angles and two of the exterior angles are represented with variables. Find the measure of each interior an angle.
(let me describe the triangle: It is a regular triangle, the bottom right hand corner, the angle is labeled as z and has 2x-5. On the bottom left hand corner, the variable is x but no value. The top of the triangle is y with 2x+5)
any help would be really appreciated
thank you so much in advance
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
we have the following equations
y + 2x+5 = 180
z + 2x-5 = 180
therefore
y = 175 -2x
z = 185 -2x
we know the sum of the interior angles of the regular triangle = 180
now we have
175-2x + 185-2x +x = 180
-3x + 360 = 180
-3x = -180
x = 60
y = 55
z = 65
RELATED QUESTIONS
Find the measures of the interior angles of a triangle whose two exterior angles equal to (answered by Alan3354,Edwin McCravy)
Find the measures of the interior angles of a triangle whose exterior angles are 120 and... (answered by Alan3354)
If the sum of the measures of two exterior angles of a triangle is 230, find the measures (answered by mangopeeler07)
in a certain triangle, the measures of the interior angles can be represented as x, 2x,... (answered by jim_thompson5910)
one of the exterior angles of a triangle is 120 and the interior opposite angles are in... (answered by ankor@dixie-net.com)
Two angles in a triangle are equal and their sum is five times the third angle in the... (answered by Mathtut)
Two angles in a triangle are equal and their sum is equal to the third angle in the... (answered by sudhanshu_kmr,Alan3354)
Two angles in a triangle are equal and their sum is equal to the third angle in the... (answered by EdenWolf)
Two angles in a triangle are equal and their sum is equal to the third angle in the... (answered by Boreal)