In the given figure, the side BC of Angle ABC is extended to D.If Angle ACD= 117 dregee and Angle ABC =23 degree ,find Angle BAC and Angle ABC.
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In the given figure, the side BC of Angle ABC is extended to D.If Angle ACD= 117 dregee and Angle ABC =23 degree ,find Angle BAC and Angle ABC.
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Answer:
Detailed Solution
Given:
The side BC of a triangle ABC is extended to a point D. If ∠ACD = 117° and ∠ABC = ∠BAC.
Calculations:
F1 Ashish S 25-10-21 Savita D3
∠ABC = 5x & ∠BAC = 8x (∠ABC = 5/8 of ∠BAC)
Now,
⇒ 5x + 8x = 117° (sum of interior opposite angles is equal to exterior angles)
⇒ 13x = 117°
⇒ x = 9
Now,
∠ABC = 5x = 45°
∴ The correct choice will be option 4.