10. Find the value of x in the following triangle :
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krishpandey51:
70⁰
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Answer:
hi
Step-by-step explanation:
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Answered by
1
Answer:
Hey mate!
Ans: 34°
Step-by-step explanation:
In ΔABD, using Angle Sum Property,
→ ∠ABD + ∠BDA + ∠BAD = 180°
→ ∠ABD + 15° + 70° = 180°
→ ∠ABD = 180° - 70° - 50°
→ ∠ABD = 180° - 120°
→ ∠ABD = 60°
Now, we know that BDC is a st. line.
→ ∠BDA + ∠ADC = 180° [ ∵ Linear pair ]
→ 70° + ∠ADC = 180°
→ ∠ADC = 180° - 70°
→ ∠ADC = 110°
Now, in ΔADC, using angle sum property again,
⇒ ∠x + 110° + 36° = 180°
⇒ ∠x = 180° - 110° - 36°
⇒ ∠x = 180° - 146°
⇒ ∠x = 34°
Therefore, the value of ∠x is 34° [Ans.]
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