Question

Solve for x and y please​

Answer 1

`\Huge\boxed{x=8}\\\\\Huge\boxed{y=138}`

Explanation:

Hello There!

Knowing that the sum of the angles in a triangle is 180

we can use this equation to solve for x

180 = 90 + 5x + 2 + 6x

Step 1 combine like terms

90 + 2 = 92

5x + 6x = 11x

now we have

180 = 11x + 92

step 2 subtract 92 from each side

180 - 92 = 88

92 - 92 cancels out

now we have

88 = 11x

step 3 divide each side by 11

11x/11 = x

88/11 = 8

we're left with x = 8

Now we plug in 8 into x for 5x + 2 so we can solve for y

5*8=40

40+2 = 42

Now we can solve for y

the angle measured 42 degrees and the angle labeled y are supplementary angles meaning that the sum of the two angles is 180

so to find y we subtract the given angle (42) from 180

180 - 42 =138 so we can conclude that y = 138

Notes: the little square represents a right angle which has a measure 90 degrees so thats where the 90 came from .