Question

1. draw each figure.

a. ray ca
b. angle abc. identify the vertex.

1. classify the angles below without using a protractor.
2. use a protractor to draw a 42° angle. label the angle abc. use a compass and

straightedge to construct the angle bisector of ∠abc.

1. ∠cde and ∠edf are supplementary angles. if m∠cde=(2x + 6)° and

m∠fde=(x - 9)° what is the value of x?
on your own
name each angle in three different ways.
5.

1. draw two segments that intersect to form an angle.
2. draw two rays that do not form an angle.
3. draw and label adjacent angles abc and cbd.
4. draw and label angles pqr and sqt so that they share the vertex q but are not

adjacent angles. name two other angles formed in your drawing.
use a protractor to draw an angle with the given measure.

1. 79°
2. 125°
3. 185°

use a compass and straightedge to construct an angle bisector.
15.
16.

Explanation:

Step1: Set up the equation

Since \(\angle CDE\) and \(\angle EDF\) are supplementary angles, their sum is \(180^{\circ}\). So, \((2x + 6)+(x - 9)=180\).

Step2: Simplify the left - hand side

Combine like terms: \(2x+x+6 - 9=180\), which simplifies to \(3x-3 = 180\).

Step3: Solve for \(x\)

Add \(3\) to both sides of the equation: \(3x-3 + 3=180+3\), so \(3x=183\). Then divide both sides by \(3\): \(x=\frac{183}{3}=61\).

Answer:

\(x = 61\)