Question

Find the measure of the angles marked x,y and z .
Triangle ABC is an equilateral triangle .
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Answer 1

Answer:

x=20°

y=25°

z=50°

thx hv a nc d

Answer 2

ext. ang. ACE = ang. BAC + ang. ABC

ang. ACE = 60° + 60° = 120°

therefore , z = 120°

Similarly, In ∆ACE , we have :

ext. ang. ACB = y + 30°

60° = y + 30°

y = (60 - 30)° = 30°

Similarly in ∆ADB, we have :

ext. ang. ABC = x +40°

60 = x + 40°

x = (60 - 40)° = 20°