Question

In polygon ( A B C D ), if ( m angle B A D=73∘), find the measure of ( angle A B C )."

Answer 1

The measure of angle ABC in polygon ABCD is 287∘

Step-by-step explanation:

In polygon ABCD, if m angle BAD=73∘, we can find the measure of angle ABC. In a polygon, the sum of the interior angles is given by the formula (n-2) * 180∘, where n is the number of sides. Since the polygon has 4 sides, we substitute n=4 into the formula to get the total sum of the interior angles as (4-2) * 180∘ = 360∘.

Since we know that m angle BAD=73∘, we can subtract this value from the total sum of the interior angles to find the measure of angle ABC. So, angle ABC = 360∘ - m angle BAD = 360∘ - 73∘ = 287∘.