Question

Please help!!!!!!!!!!!!!!!

Answer 1

147

Explanation:

(8x+1)+(5x-2)+90=180

add 5x + 8x and 1-2

13x-1+90=180

combine -1 and 90

13x+89=180

subtract 89 from both sides

13x=91

91÷13

=7

Then you want to solve for (5x-2)

plug in x (7)

5(7)-2

35-2

33

then subtract 33 from 180 to get angle one

180-33

=147

Answer 2

Third choice, 147

Explanation:

Look at the bottom right angle, a straight line is 180 degrees, the line separating going on the line is at a 90 degree angle as there's a square that represents a right angle for the outer angle, the inner angle is also 90 as 90+90=180. A triangle is 180 degrees, all the equations plus 90 equals 180 so:

8x + 1 + 5x - 2 + 90 = 180

add like terms

13x + 89 = 180

subtract 89 from both sides

13x = 91

divide by 13

x = 7

Replace the equation the x in 5x - 2 to find angle 1, a straight line is 180 degrees so:

5x - 2 + ∠1 = 180

5(7) - 2 + ∠1 = 180

35 - 2 + ∠1 = 180

33 + ∠1 = 180

subtract 33 from both sides

∠1 = 147