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Answers
Given:
angle BAC = 30°
angle CEF = 60° (assume)
angle BDG = 70° (assume)
To Find:
The value of x.
Solution:
angle BDE = 180° - 70° (Linear Pair)
angle BDE = 110°
angle CED = 180° - 60° (Linear Pair)
angle CED = 120°
Sum of all the interior angles of a Pentagon is equal to 540°.
2x + 30° + 110° + 120° = 540°
or, 2x = 540° - 260°
or, x = 280° / 2
or, x = 140°
Answer:
x = 140°
Step-by-step explanation:
good question
angle BDE = 70° -180°. [linear pair]
angle BDE = 110°
similarly with angle XED
angle XED = 120°
angle sum property of Pentagon = sum of all angles of Pentagon is equal to 540°
so,
angle BAC + angle BDE + angle XED + angle ABD + angle ACE = 540°
30° + 110° + 120° + x + x = 540°
(angle ABD = angle ACE = x )
260°+ 2x = 540°
2x = 540° - 260°
x = 280° \2
x= 140°
hence your answer is 140°