Question

note: the triangles are not drawn to scale.
are the two triangles congruent?
choose 1 answer:
yes
no
there is not enough information to say.

Explanation:

Step1: Find the third angle of the first triangle

The sum of angles in a triangle is \(180^{\circ}\). Let the third angle of the first triangle be \(x\). Then \(x + 45^{\circ}+108^{\circ}=180^{\circ}\), so \(x=180^{\circ}-(45^{\circ} + 108^{\circ})=27^{\circ}\).

Step2: Find the third angle of the second triangle

Let the third angle of the second triangle be \(y\). Then \(y+67^{\circ}+73^{\circ}=180^{\circ}\), so \(y = 180^{\circ}-(67^{\circ}+73^{\circ})=40^{\circ}\).

Step3: Check for congruence

For two triangles to be congruent, their corresponding angles and sides must be equal. The sides \(5\) and \(6\) are not equal, and the angles \(27^{\circ}\) and \(40^{\circ}\) (the non - given angles) are not equal.

Answer:

B. No