Question

Find the value of x.

please show work

Answer 1

d ) 126

so a much easier way to find this out is to look at the angles . x is = 126 (as the other side is too)

BUT here’s the other way too :)

(6z+6)= (6z+1)

(5y-4)= (5y-4)

126

Answer 2

x = 126

Explanation:

The angle indicated with 126° and the angle represented with (5y - 4) are alternate angles and their measures are equal so we can write the following equation to find the value of y:

5y - 4 = 126 add 4 to both sides

5y = 130 divide both sides by 5

y = 26

x and the angle indicated with 126 are also alternate angles so

x = 126

The angle represented with (5y - 4) are the angle represented with (6z + 6) are supplementary angles and their sum is equal to 180, we can write the following equation based on this information:

6z + 6 + 126 = 180 add like terms

6z + 132 = 180 subtract 132 from both sides

6z = 48 divide bot sides by 6

z = 8