Question

D
70°
Find the value of Zx and Zy
in the given figure.
A
C С
х
60°
B​

Answer 1

Answer:

/_x = 60°

/_y = 55°

Step-by-step explanation:

In ∆ADC,

AD = DC

Therefore, /_y = /_ACD (Angles opposite to equal sides of a ∆ are equal) --(1)

hence, by Angle Sum Property,

/_A + /_y + /_ACD = 180°

70° + /_y + /_y = 180° (From (1))

2/_y = 180-70 = 110°

/_y = 55°

Similarly in ∆ABC, AB = BC

Therefore, /_x = /_BAC (Angles opposite to equal sides of a ∆ are equal) --(2)

hence, by Angle Sum Property,

/_B + /_x + /_BAC = 180°

60° + /_x + /_x = 180° (From (2))

2/_x = 180-60 = 120°

/_x = 60°

Hope it helps!!

Have a great day!!