Question
Download Solution PDFIn the given figure below, what is the value of w?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
In the given figure below,
Concept:
Vertically opposite angles are equal.
The angle sum property of a triangle states that the sum of the angles of a triangle is 180o.
Solution:
In the given figure,
In \(\triangle CDO\)
\(\angle C+\angle D+\angle COD=180^o \\ \angle COD=180^o - 140^o=40^o\)
Also,
\(\angle COD=\angle BOA=40^o\) [Vertically opposite angle]
In \(\triangle ABO\)
\(\angle A+\angle B+\angle BOA=180^o \\ \angle B=180^o - 70^o=110^o\)
The value of w is 180o.
Hence, option 2 is correct.
Last updated on May 26, 2025
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