Math  /  Geometry

QuestionFind the value of xx in the figire ab

Studdy Solution
Now, use the angle sum property in AED \triangle AED to find x=AED x = \angle AED . We know: - DAE=70 \angle DAE = 70^\circ - AEB=80 \angle AEB = 80^\circ
Since AED=x \angle AED = x , we have:
AED+DAE+AEB=180 \angle AED + \angle DAE + \angle AEB = 180^\circ x+70+80=180 x + 70^\circ + 80^\circ = 180^\circ x+150=180 x + 150^\circ = 180^\circ x=180150 x = 180^\circ - 150^\circ x=30 x = 30^\circ
The value of x x is:
30 \boxed{30^\circ}

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