B. triangle ABC is isosceles. The angles add up 180 degrees.
Answer:
Below in bold.
Step-by-step explanation:
sin 66.4 = opposite side / hypotenuse
sin 66.4 = 21.3 / y
y = 21.3 / sin 66.4
y = 23.24.
tan 66.4 = 21.3 / x
x = 21.3 / tan 66.4
x = 9.31.
The triangles are similar because of the SAS postulate. The sides are proportional and angle T is equal in both.
72, 96, 84, 12
72 + (7x+24) = 180
7x + 96 = 180
7x = 84
x = 12
For # 9, the answer is 4 pants and 11 shirts, see in the comments for my explanation