SOLUTION: In isosceles triangle CDE, angle C is thirty-nine degrees more than angle D. angle C is one of the congruent angles. What is the measure of each angle in triangle CDE?

Algebra.Com
Question 174675: In isosceles triangle CDE, angle C is thirty-nine degrees more than angle D. angle C is one of the congruent angles. What is the measure of each angle in triangle CDE?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
In isosceles triangle CDE, angle C is thirty-nine degrees more than angle D. angle C is one of the congruent angles. What is the measure of each angle in triangle CDE?
-------------------
Let the vertex angle be "x" degrees.
Each base angle is "x+39" degrees.
-----------
EQUATION:
x + 2(x+39) = 180
3x + 78 = 180
3x = 102
x = 34 degrees (vertex angle measure)
x+39 = 73 (each base angle meansure)
===============================
Cheers,
Stan H.

RELATED QUESTIONS

How do I solve this question? In an isosceles triangle, the sum of two congruent angles... (answered by Earlsdon)
In an isosceles triangle, the sum of the two congruent angles is thirty less than half... (answered by w_parminder)
in an isosceles triangle, one angle is 12 degrees more than twice the measure of one of... (answered by rfer,sudhanshu_kmr)
Angles A, B, and C are the angles in a triangle. Angle B is 2 times as big as angle A,... (answered by oscargut)
In triangle ABC, angle B is five times as large as angle C. Angle A measures 5 degrees... (answered by mananth)
In Triangle abc , angle a is 5 times angle b, and angle c is 16 degrees less than angle... (answered by Mathtut)
Please help! 1. One angle of a triangle measures 10 degrees more than the second. The... (answered by venugopalramana)
In a hexagon ABCDEF, angle A and angle B are right angles. If angle C is congruent to... (answered by jim_thompson5910)
In a hexagon ABCDEF, angle A and angle B are right angles. If angle C is congruent to... (answered by Theo)