Bisector: Angle bisector

BD is a bisector.

What is the size of angle ABC?

Since we are given that the value of angle DBC is 65 degrees, and we know that the angle bisector divides angle ABC into two equal angles, we can calculate the value of angle ABC:

$65+65=130$

130

Calculate angle $\alpha$ given that it is a bisector.

Since an angle bisector divides the angle into two equal angles, and we are given that one angle is equal to 60 degrees. Angle $\alpha$ is also equal to 60 degrees

60

Given:

$∢\text{ABC}=90$

$∢DBC=45$

Is BD a bisector?

Yes

$∢\text{ABD}=15$

BD bisects the angle.

Calculate the size of $∢\text{ABC}$.

$$

30

$∢ABC=120$

$∢ABD=60$

Which of the following are true?

_{BD bisects $∢ABC$.}

Calculate the size of angle $\alpha$ given that it is a bisector.

45

$∢DBC=90°$

BE cross $∢\text{DBA}$

Find the value $\alpha$

45

BO bisects $∢ABD$.

$∢\text{ABD}=85$

Calculate the size of

$\sphericalangle ABO\text{.}$

42.5

$∢\text{ABD}=90$

CB bisects $\sphericalangle\text{ABD}$.

$\sphericalangle\text{CBD}=\alpha$

Calculate the size of $∢ABC$.

45

What is the size of angle ABC given that BD is a bisector?

80

$∢ABC\text{ }=130$

Given that a is a bisector, calculate angle $\alpha$.

65

a is a bisector.

$∢BAC = 80°$

Calculate angle $\alpha$.

40

BE bisects $∢\text{FBD}$.

$∢\text{FBE}=25$

Calculate the size of $∢\text{EBD}$.

25

$∢\text{AFB}=60$

$∢\text{AFE}=120$

$∢EFD=80$

FC bisects $∢DFB$.

Calculate the size of angle $∢\text{DFC}$

50

Which line segment(s) are bisectors?

All of the above.

Given:

$∢ABC=90$

$∢ABD=45$

$∢EBC=22.5$

Choose sides that are bisectors

Answers a + b

BD bisects $∢\text{ABC}$.

$∢EBC=\alpha$

$∢DBE=30$

Calculate the size of $∢\text{ABD}$.

$\alpha+30$

BD bisects $∢\text{ABC}$.

BE bisects$∢\text{ABD}$.

$∢\text{ABC}=50$

Calculate the size of $∢\text{ABE}$.

12.5

OC bisects $∢\text{DOB}$.

$∢KOD=2\alpha$

$∢DOC=\alpha$

$∢KOB=68$

Calculate the size of angle $∢\text{DOC}$ ($a$).

17

Look at the diagram below.

Which line segment is the bisector of the angle?

BD