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Answer

7. 30

8. 54

Step-by-step explanation:

For 7 do 2x+3x=90 because it is a right angle

then solve for x and get 15

to get the angle you are looking for multiply 2 by 15

and get the answer 30

For 8 to find the value of x you would need to...

add (4x+6) + (11x-6)= 180 because 180 is a straight angle.

Then simply solve for x and get 15x=180 which equals 12

The to get the angle you plug it in to (4x+6) and get the answer 54

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice