(14. Triangle BCD is an isosceles triangle; this means that both angle C and angle D are congruent, this sets up quite a simple equation for us.
5x-19=2x+14
-2x -2x
3x-19=+14
+19 +19
3x=33
x=11
With this information, we can substitute the value of x into the equations representing the measure of the angles.
B=-13x-35
B=13(11)-35
B=143-35
B=108
C=5x-19
C=5(11)-19
C=55-19
C=36
Because C and D are congruent, they both equal the same amount. The angles of a triangle are all equal to 180 so add the three angles together to check your answer.
108+36+36=180
(15. Fifteen is fourteen in reverse, instead of angles you have to find the value of line segments. I won't go through the steps for this one because the steps are the same for this one.
x=4
WX=25
WY=25
YX=17
