ABC is a triangle in which AB - AC- The base BC is produced to D- If - ACD -130- then - A -A- 80-B- 60-C- 50-D- 40-

The correct option is A 80° ∠ACD = 130^∘ ........ (given) ∠ACB =50^∘ ....... (linear pair) Given that AB = AC ∠ABC = ∠ACB = 50^∘ ..... (base angles of an iso ...

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Standard VI

Mathematics

Exterior Angle Property

ABC is a tria...

Question

ABC is a triangle in which AB = AC. The base BC is produced to D. If $∠$ ACD = $130^{\circ}$ , then $∠$ A = ___.

80°

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60°

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50°

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40°

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Solution

The correct option is A
80°

$∠$ ACD = $130^{\circ}$ ........ (given)

$∠$ ACB = $50^{\circ}$ ....... (linear pair)

Given that AB = AC

$∠$ ABC = $∠$ ACB = $50^{\circ}$ ..... (base angles of an isosceles triangle)

Therefore, $∠$ A + 50° = 130° ..... (exterior angle theorem)

$∠$ A = $80^{\circ}$

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ABC is a triangle in which AB = AC. The base BC is produced to D. If ∠ACD = 130∘, then ∠A = ___.

The correct option is A 80° ∠ACD = 130∘ ........ (given) ∠ACB =50∘ ....... (linear pair) Given that AB = AC ∠ABC = ∠ACB = 50∘ ..... (base angles of an isosceles triangle) Therefore,∠A + 50° = 130° ..... (exterior angle theorem) ∠A = 80∘

ABC is a triangle in which AB = AC. The base BC is produced to D. If $∠$ ACD = $130^{\circ}$ , then $∠$ A = ___.