Math, asked by riya355331, 6 months ago

answer as fast as u can​

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Answered by Anonymous
3

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°

Answered by sdcgaming851
0

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°

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