In the given figure the value of z is 120∘ 85∘ 80∘ 140∘
| In the given figure, the value of 'z' is:
![](https://static.tllms.com/ckeditor_assets/pictures/421402/original_hj.PNG)
A. 120∘
B. 85∘
C. 80∘
D. 140∘
Please scroll down to see the correct answer and solution guide.
Right Answer is: D
SOLUTION
In the figure, ∠ BCA and ∠ ACE are linear pair.
∠ BCA + ∠ ACE =180∘
120∘+x=180∘ ⇒x=60∘
From Δ DCE, we have
60∘+40∘+y∘=180∘
[Angle sum property]
⇒y=80∘
From exterior angle property of a triangle, we have
x+y=z ⇒z=60∘+80∘ =140∘
Hence, the value of 'z' is 140∘