please solve this it's very urgent
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Answered by
1
Answer:
x = 80°
y = 60°
z = 140°
Step-by-step explanation:
In ΔBDE, ∠BDE + ∠BED + ∠DBE = 180°(Angle Sum Property)
⇒ 30° + 90° + y = 180°
⇒y = 180°- 120°
⇒y = 60°
In ΔACD, ∠ACD + ∠ADC + ∠CAD= 180°(Angle Sum Property)
⇒ ∠ACD + 30° + 50° = 180°
⇒ ∠ACD = 180° - 80°
⇒ ∠ACD = 100°
Now, ∠ACD + ∠ACB = 180°( Linear pair)
⇒100° + x = 180°
⇒x = 180°- 100°
⇒x = 80°
In ΔBCF, ∠BCF + ∠BFC + ∠CBF= 180°(Angle sum property)
⇒ x + ∠BFC +y = 180°
⇒80° + ∠BFC + 60° = 180°
⇒∠BFC = 180° - 140°
⇒∠BFC = 40°
Now, ∠BFC + ∠BFA = 180°
⇒ 40° + z = 180°
⇒ z = 180°- 40°
⇒ z = 140°
∴x = 80°, y = 60°,z = 140°
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Answered by
1
Answer:
z=140⁰
x=80⁰
y=60⁰
Step-by-step explanation:
Explained above.....!!!
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