Answer: y = 23 x = 28
Step-by-step explanation:
First find the value of y.
The angle (5y -4) and 3y forms a straight line which means that if you add them together they will equal 180 degrees. Add them and set them equation to 180 to solve for y.
5y-4 + 3y = 180
8y -4 = 180
+4 +4
8y = 184
y= 23
Since y is equal to 23, then input y into the expression (5y-4) to find the main angle value and then add it with the angle (2x+13) to equal to 180 degrees because they also form a straight angle.
5(23) - 4
115 - 4 = 111
111 + (2x + 13) = 180
124 + 2x = 180
-124 -124
2x = 56
x = 28
x is equal to 28 degrees.
Check.
111 + 2(28) + 13 = 180
111 + 56 + 13 = 180
180 = 180
