Question

find the unknown angle...........​

Answer 1

Step-by-step explanation:

For angle z°

ACB + BCD + DCE = 180° ...... (Linear pair angles)

30° + z° + 100° = 180°

z = 180° - 130°

z = 50°

For angle y°

ACB + BCD = ACD

ACD = 50° + 30°

ACD = 80°

Now,

we know AB is parallel to CD

Therefore,

We can apply interior angle theorem

BAC + ACD = 180°

y° + 80° = 180°

y = 180° - 80°

y = 100°

For angle x°

we know that

sum of angles of triangle is 180°

BAC + ACB + ABC = 180°

y° + 30° + x° = 180°

100° + 30° + x° = 180°

x = 180° - 130°

x = 50°

Hope it helps you!

Answer 2

Answer:

z = 50°, y = 100°, x = 50°

Step-by-step explanation:

Very simple method :

30° + z + 100° = 180° ( Angle sum property )

z = 180° - 130° ( Linear pair )

z = 50°

x = z ( Alternate interior angle )

x = 50°

y = 100° ( AB ║ CD )

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