Question

What is the measure of angle xyz

Answer 1

Answer:

Step-by-step explanation:

LET:

∠XYW=Y

X,Y and W are the angles of triangle so:

X + Y + W=180

3x+11+Y+5x+1=180

Y=180-12-8x

Y=168-8x

Now ∠XYW and ∠XYZ are the angles of a straight line:

∠XYW+∠XYZ=180

168-8x+12x-20=180

4x+148=180

4x=180-148

4x=32

x=32/4

x=8

Now substitute value of x in Y:

∠(12x-20)=12(8)-20

∠Y=76