Question

q 30. please answer quick
only answer if u know​

Answer 1

Answer:

D) 13

Step-by-step explanation:

Isosceles triangle completed at A₂ has base angles 7°.

Isosceles triangle completed at A₃ has base angles 7°+7° = 14°, by rule "external angle of triangle = sum of two opposite internal angles".

Isosceles triangle completed at A₄ has base angles 14°+7° = 21°, by rule "external angle of triangle = sum of two opposite internal angles".

Isosceles triangle completed at A₅ has base angles 21°+7° = 28°

etc

Isosceles triangle completed at Aₙ has base angles (n-1) × 7°

...

Isosceles triangle completed at A₁₃ has base angles 12 × 7° = 84°

Trying to go any further would make the base angles greater than 90°, so the sum of the angles would be greater than 180°, which can't happen.

So the 13 lines OA₁, A₁A₂, A₂A₃, ..., A₁₂A₁₃ are as many as can be done.