△cde and △fgh are shown below.\nwhich statement is true?\n△cde is similar to △fgh.\n△cde is not similar to…

△cde and △fgh are shown below.\nwhich statement is true?\n△cde is similar to △fgh.\n△cde is not similar to △fgh.\nthere is not enough information to determine whether the triangles are similar.

△cde and △fgh are shown below.\nwhich statement is true?\n△cde is similar to △fgh.\n△cde is not similar to △fgh.\nthere is not enough information to determine whether the triangles are similar.

Answer

Explanation:

Step1: Calculate the third angle of (\triangle CDE)

The sum of angles in a triangle is (180^{\circ}). For (\triangle CDE), let the third angle be (\angle D). (\angle D=180^{\circ}-(48^{\circ} + 80^{\circ})) (\angle D = 180^{\circ}-128^{\circ}) (\angle D=52^{\circ})

Step2: Calculate the third angle of (\triangle FGH)

For (\triangle FGH), let the third angle be (\angle H). (\angle H=180^{\circ}-(48^{\circ}+62^{\circ})) (\angle H = 180^{\circ}-110^{\circ}) (\angle H = 70^{\circ})

Step3: Check for similarity

Since the angles of (\triangle CDE) ((48^{\circ},80^{\circ},52^{\circ})) and (\triangle FGH) ((48^{\circ},62^{\circ},70^{\circ})) are not equal in measure, the triangles are not similar.

Answer:

(\triangle CDE) is not similar to (\triangle FGH).