Questions: 5. What does it mean to bisect a line segment? How about an angle? 6. The sum of supplementary angles is how many degrees? 7. The sum of complementary angles is how many degrees? 8. The measure of angle A=2x. The measure of angle B=x+30. The two angles are supple and the measure of each angle. x= m angle A= m angle B= 9. In the diagram to the right, BD is the angle bisector of angle ABC. Find x and the m three angles.

5. What does it mean to bisect a line segment? How about an angle?
6. The sum of supplementary angles is how many degrees?
7. The sum of complementary angles is how many degrees?
8. The measure of angle A=2x. The measure of angle B=x+30. The two angles are supple and the measure of each angle.
x=
m angle A=
m angle B=

9. In the diagram to the right, BD is the angle bisector of angle ABC. Find x and the m three angles.

Transcript text: 5. What does it mean to bisect a line segment? How about an angle? 6. The sum of supplementary angles is how many degrees? $\qquad$ 7. The sum of complementary angles is how many degrees? $\qquad$ 8. The measure of $\angle A=2 x$. The measure of $\angle B=x+30$. The two angles are supple and the measure of each angle. \[ \begin{array}{l} x= \\ m \angle A= \\ m \angle B= \end{array} \] $\qquad$ $\qquad$ $\qquad$ 9. In the diagram to the right, $B D$ is the angle bisector of $\angle A B C$. Find $x$ and the $m$ three angles.

Solution

Solution Steps

Solution Approach

To bisect a line segment means to divide it into two equal parts. To bisect an angle means to divide it into two equal angles.
The sum of supplementary angles is 180 degrees.

Step 1: Understanding the Concept of Bisecting

To bisect a line segment means to divide it into two equal parts. Similarly, to bisect an angle means to divide the angle into two equal angles.

Step 2: Sum of Supplementary Angles

Supplementary angles are two angles whose sum is $180^\circ$.

Step 3: Sum of Complementary Angles

Complementary angles are two angles whose sum is $90^\circ$.