Question

In the AABC, BE perpendicular AC, EBC = 40° and DAC = 30°. Find
the values of x,y,z.

Answer 1

Answer:

x=50 ,y=80 ,Z=120

Step-by-step explanation:

In triangleBEC

angle B=40 ,E=90,C=x

angleB+angle E+anglec=180

40+90+x=180

130+x=180

x=180- 130

x=50

In triangle ADC

DAC= 30, C=50,D=?

A+C+D=180

30+50+D=180

D=180-80

ADC=100

y+ADC=180 (linear pair)

y=180-100

y=80

Z+BFD=180

z+60=180

Z=180-60

Z=120