Answer: 1) 13 2) 11, 144°, 36° 3) 18, 54°, 126°
Step-by-step explanation:
For the first one to find x make the equations equivalent to each other
to make an equation.
7x - 16 = 5x + 10 // Now solve for x
add 16 to both sides
7x = 5x + 26
subract 5 from both x
2x = 26
Now divide by 2
x = 13
For the 2nd one do the same thing as last time because the equations are across from each other in parallel lines meaning they are equivalent.
12y + 12 = 15y - 21
add 21 to both sides
12y + 33 = 15y
subtract 12 from both y
33 = 3y
Now divide by 3
y = 11
Angle A is 144°
Angle B is 36°
Now solve for A ( replace y by 11 in the equation a to get an output )
12(11) +12
132 + 12 = 144°
Now to find b subtract 144 from 180
180 - 144 = 36°
For the 3rd one same thing since they are parallel.
5z - 36 = 3z
add 36 to both sides
5z = 3z + 36
now subtract 3 from both z
2z = 36
divide by 2
z = 18
Solve for C
5(18) - 36
90 - 36 = 54°
Z is 18
angle C is 54°
angle D is 126°
