Question

Suppose that m∠C = m∠F. Which other fact would guarantee that the triangles are SIMILAR? A) CB FE = AB DE B) m∠B = m∠E C) m∠A + m∠B + m∠C = 180° D) 180° - m∠D = m∠E + m∠F

Answer 1

Answer:

The correct option is B.

Step-by-step explanation:

Given information: $\angle C=\angle F$.

Two triangles are similar if their corresponding angles are same or their corresponding sides are proportional.

Case 1: According to the AA rule similarity, two triangles are similar if two corresponding angles are same.

In triangle ABC and triangle DEF, if

$\angle B=\angle E$

then, by AA rule triangle ABC and  triangle DEF are similar. Therefore option B is correct.

Case 2: According to the SAS rule similarity, two triangles are similar if two corresponding sides are proportional and the including angles are same.

In triangle ABC and triangle DEF, if

$\frac{CB}{FE}=\frac{AC}{DF}$

then by SAS  rule triangle ABC and  triangle DEF are similar. Therefore option A is incorrect.

Answer 2

B because when u know more than one angle u know they are the similar