Question

in each of the following figures find value of x​

Answer 1

Answer:

$x = 40 \: degrees.$

Step-by-step explanation:

$ad = bd \\ \\ therefore \: \: \: angle \: b = angle \: \: bad = 50 \: degree \\ \\ then \: by \: exterior \: angle \: sum \: propery \\ \\ angle \: \: adc = 50 + 50 = 100 \: degree \\ \\ ad = dc \\ \\ therefore \: \: \: angle \: dac = angle \: \: c = x \\ \\ then \: by \: angle \: sum \: property \\ \\ x + x + 100 = 180 \\ \\ 2x = 80 \\ \\ therefore \: \: x = 40 \: degree.$