Answer:
BF = 17cm
NB = 9cm
Angle B = 67°
Angle T = 31°
Explanation:
For the first answer, we know that Tri STW is congruent to Tri BFN. Therefore, BF is congruent to ST. St is equal to 17, therefore, BF is equal to 17.
The next answer is similar to this. We know that NB is congruent to SW. SW is equal to 9, therefore NB is equal to 9.
The third answer is a little different. We know <S is equal to <B. This is because the triangles are congruent. Since <S is 67°, <B is equal to 67°
The final answer is the hardest. <F does not state how many degrees it is. What we do know however, is what <W and <S are equal to. We also know <F is equal to <T. We know <N is equal to <W, therefore, <W is equal to 82°. This gives us 2 out of the three angles. The Triangle Angle Sum Theorem states that adding all three angles together should always equal 180°. Adding 82 and 67 together equals 149. Subtracting 149 from 180 equals 31. This means that <T equals 31°.
I hope this helps you!