In the give figure, DE||Bc. find the measure of angle x, y and z.
Attachments:
Answers
Answered by
0
Answer:
Solution
verified
Verified by Toppr
DE parallel to BC and AB is a transversal.
∴ ∠ADE=∠DBE⋯⋯[corresponding angles]
⇒ x=30
o
Now, DE parallel to BC and AC is a transversal.
∴ ∠AED=∠ECB⋯⋯[corresponding angles]
⇒ y=40
o
In triangle ABC,
∠A+∠B+∠C=180
o
⇒ z+30
o
+40
o
=180
o
⇒ z=180
o
−40
o
−30
o
⇒ z=110
o
Therefore,
⇒ x=30
o
⇒ y=40
o
⇒ z=110
o
Answered by
1
x = 110
y = 110
z = 40.
tdn-iuyq-ahm
Similar questions