Find Angle B in Quadrilateral ABCD: Using 140° and 80° Measurements

Question

ABCD is a quadrilateral.

According to the data, calculate the size of B ∢B .

AAABBBDDDCCC80140

Video Solution

Step-by-Step Solution

As we know, the sum of the angles in a square is equal to 360 degrees, therefore:

360=A+B+C+D 360=A+B+C+D

We replace the data we have in the previous formula:

360=140+B+80+90 360=140+B+80+90

360=310+B 360=310+B

Rearrange the sides and use the appropriate sign:

360310=B 360-310=B

50=B 50=B

Answer

50