Question

chapter 1
worksheet
please fill in the blank with correct word or words.

1. vertical angles are ________.
2. angles that share a vertex and a common side are ________ angles.
3. the measures of complementary angles add up to ________.
4. the measures of supplementary angles add up to ________.
5. two adjacent angles that make a straight line are called a ________.

please complete the chart with the correct angle measures.
angle | complement | supplement | vertical
43° | | |

51°
	162°
		13°

solve for x. then, circle whether each angle pair is complemen
mentary.
5x - 8 + 43 = 90.
11.
diagrams: angle with 43° and (5x - 8)°, another with 72° and 3x°

Explanation:

Step1: Simplify the left - hand side

Given the equation \(5x - 8+43 = 90\). First, combine the constant terms \(- 8\) and \(43\). We know that \(-8 + 43=35\), so the equation becomes \(5x+35 = 90\).

Step2: Isolate the term with \(x\)

Subtract \(35\) from both sides of the equation \(5x + 35=90\). According to the subtraction property of equality, we have \(5x+35 - 35=90 - 35\), which simplifies to \(5x = 55\).

Step3: Solve for \(x\)

Divide both sides of the equation \(5x = 55\) by \(5\). Using the division property of equality, \(\frac{5x}{5}=\frac{55}{5}\), so \(x = 11\).

Answer:

\(x = 11\)