Question

find the value of the unknown interior angle x in the following figure ​

Answer 1

Step-by-step explanation:

ACB=180°-(50°+90°)

=40°

x+100+40=180°( angles in a triangle is 180°)

x=40°

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Answer 2

$in \: triangle \: abc \\ 90 + 50 + c = 180 \\ 140 + c = 180 \\ c = 40 \\ \\ in \: triangle \: dec \\ 40 + 100 + x = 180 \\ x = 180 - 140 \\ x = 40$