Answer: C) 8 cm
Step-by-step explanation:
Given: In △ABC AB=8 cm , m∠A=70° , and m∠B=55° .
The angle sum property of triangle says that the sum of all interior angles in a triangle is equals to 180°.
⇒ m∠A+m∠B+m∠C=180°
⇒70°+55°+m∠C=180°
⇒m∠C=180°-125°
⇒m∠C=55°
Now, in △ABC m∠C= m∠B= 55°
⇒AB=AC [∵ Sides opposite to equal angles of a triangle are equal]
⇒ AC= 8 cm.
Answer:
The correct answer is option (C).
Step-by-step explanation:
Given: ΔABC, ∠A=70° ,∠B=55° , AB = 8 cm
To find: AC=?
Solution:
In ΔABC
∠A + ∠B + ∠C= 180° (Angle sum property of the triangles)
70° + 55° + ∠C= 180°
∠C = 55°
In the ΔABC, ∠B is 55° and ∠C is also 55° which means that sides opposites to these angles will also be equal.
∠C = ∠B = 55°
AB = AC = 8 cm
(In triangle,Sides opposites to the equal angles are equal)
Hence, the correct answer is option (C).
