if triangle vuw is equiangular find k and t ko to SolutionSi

Solution

Since In triangle XUV we have XV = XU ( equal sides have equal angles
against them as per isoceles triangle rules), we have Angle XUV =
Angle XVU = 64

So, in triangle XUV: Sum of angles is 180, So,
t+2*64 = 180
t = 180-128 = 52

Now, Angle UVY = 60
So, Angle YVX = 180-64-60 ( since all these 3 angles lie on a straight line segment YW.

So, Angle YVX = 56
this will also be equal to measure of XVY, as per the isoceles triangle
rule since XY = XV

So, In triangle XYW: k+2*56 =180, k = 180-112 = 68
k = 68 and t =52
So, C is correct