find the angle measure x in the following figure.class 8th math chapter 3 exercise= 3.1 question 6 government schools delhi
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Given:-
- ∠BEY = 60°,
- ∠CDX = 70°,
- ∠BAC = 30°,
- ∠ACD = ∠ABE = x°.
To Find: Value of (x°).
We know,
Sum of interior angles of a quadrilateral = 360°
∠BEY + ∠BED = 180° (Linear Pair)
→ ∠BED = 180° - ∠BEY = 180° - 60° = 120°
&
∠CDX + ∠CDE = 180° (Linear Pair)
→ ∠CDE = 180° - ∠CDX = 180° - 70° = 110°
A. T. Q.:-
∠BAC + ∠ACD + ∠ABE + ∠BED + ∠CDE = 360°
→ 30° + 2x° + 120° + 110° = 360°
→ 2x° + 260° = 360°
→ 2x° = 100°
→ x° = 50° (Answer)
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