Question

In the adjoining figure ,angle AOC=100⁰. Find angle ABC.

Answer 1

Answer:

Aoc=100

ABC=180-100=80

Answer 2

Answer:

50° is the correct answer

Step-by-step explanation:

Step 1: A polygon with four sides, four angles, and four vertices is called a quadrilateral. The Latin words quadri, which means four, and latus, which means side, were combined to create the English term quadrilateral. A quadrilateral is shown in the above image as an example.

Step 2:  It is given that AOC=100° and Side AB of quadrilateral OABC has been produced to D.

To find <ABC

<ABC = 180 - (<AOC/2)

<ABC = 180 - 100/2 = 180 - 50 = 130°

To find <CBD

<CBD and <ABC are linear pairs.

Therefore <CBD + <ABC = 180

<CBD= 180 - <ABC = 180 - 130 = 50°

Therefore, 50° is the correct answer.

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