Question

find x and y
find x and y

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Answer 1

Step-by-step explanation:

In ∆ABC

By angles sum property,

< BAC + <ABC + <ACB = 180°

30° + 70° + <ACB = 180°

<ACB = 180°-100°

<ACB = 80°

<ACB + <ACD = 180° {linear pair}

80° + x = 180°

x = 100°

Now in ∆ACD

By angles sum property,

x + <ADC + y = 180°

100° + 40° + y = 180°

y = 180° - 140°

y = 40°