Question

find the value of x.
1)
2)
3)
4)
5)
6)
8)

Explanation:

Step1: Use the property of supplementary angles (sum to \(180^{\circ}\))

For problem 2: \(26 + 7x=180\)

Step2: Solve the equation for \(x\)

Subtract \(26\) from both sides: \(7x = 180 - 26=154\)
Divide both sides by \(7\): \(x=\frac{154}{7}=22\)

For problem 3: \(143+(x - 15)=180\)
Simplify the left - hand side: \(x+128 = 180\)
Subtract \(128\) from both sides: \(x=180 - 128 = 52\)

For problem 4: \(\frac{x}{2}+60 = 180\)
Subtract \(60\) from both sides: \(\frac{x}{2}=180 - 60 = 120\)
Multiply both sides by \(2\): \(x = 240\)

For problem 5: \(5x+55=180\)
Subtract \(55\) from both sides: \(5x=180 - 55 = 125\)
Divide both sides by \(5\): \(x = 25\)

For problem 6: First, find the angle adjacent to \(141^{\circ}\), which is \(180 - 141=39^{\circ}\)
Then \(x-19 = 39\)
Add \(19\) to both sides: \(x=39 + 19=58\)

For problem 7: \(57+(x + 13)=180\)
Simplify the left - hand side: \(x + 70=180\)
Subtract \(70\) from both sides: \(x=180 - 70=110\)

For problem 8: \(\frac{x}{5}+108=180\)
Subtract \(108\) from both sides: \(\frac{x}{5}=180 - 108 = 72\)
Multiply both sides by \(5\): \(x=360\)

Answer:

1. \(x = 22\)
2. \(x = 52\)
3. \(x = 240\)
4. \(x = 25\)
5. \(x = 58\)
6. \(x = 110\)
7. \(x = 360\)