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In fig., in ΔABC, AB = AC. The value of x is:



  • a)
    80°

  • b)
    100°

  • c)
    130°

  • d)
    120°

Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In fig., in ΔABC, AB = AC. The value of x is:a)80°b)100°...
Solution:

- Given that in triangle ABC, AB = AC
- We know that in an isosceles triangle, the base angles are equal
- So, angle B = angle C
- Let the value of angle B be r
- Therefore, angle C = r
- From angle sum property of a triangle, we have: A + B + C = 180°
- Substituting the values, we get: A + r + r = 180°
- Simplifying, we get: A + 2r = 180°
- 80° +2r =180°
- 2r = 100°
- r = 50°
so x + r = 180°
    x + 50° = 180°
    x = 130°
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Most Upvoted Answer
In fig., in ΔABC, AB = AC. The value of x is:a)80°b)100°...
AB=AC so angle. c = angle b in tri. abc .. now using angle sum property we'll get that angle B and C = 50degree each .. now, angle C + x =180 degree. [ linear pair] 50deg. + x =180 deg. x= 130 deg. Ans.
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Community Answer
In fig., in ΔABC, AB = AC. The value of x is:a)80°b)100°...
C
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