Answer:
sin X =35/37
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin X = opp side / hypotenuse
sin X =35/37
6 consecutive even numbers
First x
Second x+2
Third x+4
Fourth x+6
Fifth x+8
Sixth x+10
126=x+x+2+x+4+x+6+x+8+x+10
126=6x+30
Subtract 30 from both sides
96=6x
Divide both sides by 6
x=16
Fourth x+6=16+6=22
Both angles equal 73, according to the vertical angle conjecture. To solve for x:
(1+2x)=73
2x=72
x= 36
Sine of angle = opposite ÷ hypotenuse
sin 20 = 
x = 
x = 40.9 (rounded up to nearest tenth)