Question

in the figure if DE||BC , then angleABC =30° ,angleACB=120°,then angle x=30°, angle y=120°,angle z=60°
State true or false
and give reason and step by step explanation
NO SPAN​

Answer 1

Answer:

False

Step-by-step explanation:

Because the value of z and y must be equal.

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Answer 2

Answer:

True

Step-by-step explanation:

For angle x:

By Corresponding angles theorem;

∠ADE = ∠DBC

→ x = 30°

For angle y:

Again using Corresponding angles theorem;

∠AED = ∠ECB

→ y = 120°

For angle z:

120° angle and 'z' lie on the same straight line. So, by Linear pair of angles

120° + z = 180°

⇒ z = 180° - 120°

⇒ z = 60°

KNOW MORE:

Linear pair of angles states that all the angles which lie on a straight line = 180°