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Find angle 5& 6 too

x = 10

y = 5

Angle 1: 80 degrees

Angle 2: 45 degrees

Angle 3: 100 degrees

Angle 4: 35 degrees

Angle 5: 35 degrees

Angle 6: 45 degrees

Angle 7: 100 degrees

Step-by-step explanation:

Since we know angle 1 is equal to 80, we can say that angle 7 is 100, since a line makes 180 degrees. Because of the congruence statements, we can assume angle 3 is also 100 degrees. That means, that out of the 360 degrees that make up a 4 sided shape, we are left with 160. Those 160 are shared with angles 2,4,5 and 6.

To find these, we need to find 5 and 6. But we need to find x before we can solve for those. So take the equations from 5 and 6 to solve for x.

(3x+5)+(5x-5)+100=180

(3x+5)+(5x-5)=80

8x=80

x=10

Now plug x in to solve for angle 5 and 6

3(10)+5 = 35.   Angle 5

5(10)-5 = 45.   Angle 6

Now, because we know that there are only 160 degrees left to share between angles 2,4,5,6 we can say that angles 2+5=80 and 4+6=80. We already figures out what angle 5 and 6 are, so just substitute and solve.

(angle 2)+35 = 80

(angle 2) = 45 degrees

(angle 4)+45 = 80

(angle 4) = 35 degrees

To solve for y, set angle 7 equal to 100 degrees:

100 = y^2 + 15y

100 = y(y+15)

y = 5

the answer is a

step-by-step explanation:

because if you put 1 in to the square root of x it equals 300.