Bisector: Angle bisector

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

60

BD is a bisector.

What is the size of angle ABC?

130

$∢\text{ABD}=90$

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

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

Calculate the size of $∢ABC$.

45

$∢\text{ABD}=15$

BD bisects the angle.

Calculate the size of $∢\text{ABC}$.

$$

30

Given:

$∢\text{ABC}=90$

$∢DBC=45$

Is BD a bisector?

Yes

$∢ABC=120$

$∢ABD=60$

Which of the following are true?

_{BD bisects $∢ABC$.}

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

45

BO bisects $∢ABD$.

$∢\text{ABD}=85$

Calculate the size of

$\sphericalangle ABO\text{.}$

42.5

Given the following data:

$∢DBC=90°$

BE intersects the angle $∢\text{DBA}$

Determine the value of $\alpha$

45

$∢ABC\text{ }=130$

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

65

a is a bisector.

$∢BAC = 80°$

Calculate angle $\alpha$.

40

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

80

BE bisects $∢\text{FBD}$.

$∢\text{FBE}=25$

Calculate the size of $∢\text{EBD}$.

25

BD bisects $∢\text{ABC}$.

$∢EBC=\alpha$

$∢DBE=30$

Calculate the size of $∢\text{ABD}$.

$\alpha+30$

$∢\text{AFB}=60$

$∢\text{AFE}=120$

$∢EFD=80$

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 $∢\text{ABC}$.

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