Calculate angle $$ \alpha $$ given that it is a bisector. α α α 60 60 60 A A A a a a

It is not possible to calculate.

BD is a bisector. What is the size of angle ABC? 65 65 65 A A A B B B C C C D D D

It is not possible to calculate.

Bisector: Find an angle value

Question 1

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

Question 2

BD is a bisector.

What is the size of angle ABC?

Question 3

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

Question 4

$∢\text{ABD}=90$

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

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

Calculate the size of $$ ∢ABC $$ .

Question 5

$∢\text{ABD}=15$

BD bisects the angle.

Calculate the size of $∢\text{ABC}$ .

$$

Examples with solutions for Bisector: Find an angle value

Exercise #1

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

Video Solution

Step-by-Step Solution

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

Answer

Exercise #2

BD is a bisector.

What is the size of angle ABC?

Video Solution

Step-by-Step Solution

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:

$65+65=130$

Answer

130

Exercise #3

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

Video Solution

Answer

Exercise #4

$∢\text{ABD}=90$

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

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

Calculate the size of $∢ABC$ .

Video Solution

Answer

Exercise #5

$∢\text{ABD}=15$

BD bisects the angle.

Calculate the size of $∢\text{ABC}$ .

Video Solution

Answer

Question 1

BO bisects $$ ∢ABD $$ .

$∢\text{ABD}=85$

Calculate the size of

$\sphericalangle ABO\text{.}$

Question 2

Given the following data:

$$ ∢DBC=90° $$

BE intersects the angle $∢\text{DBA}$

Determine the value of $\alpha$

Question 3

BE bisects $∢\text{FBD}$ .

$∢\text{FBE}=25$

Calculate the size of $∢\text{EBD}$ .

Question 4

BD bisects $∢\text{ABC}$ .

$∢EBC=\alpha$

$$ ∢DBE=30 $$

Calculate the size of $∢\text{ABD}$ .

Question 5

$∢\text{AFB}=60$

$∢\text{AFE}=120$

$$ ∢EFD=80 $$

FC bisects $$ ∢DFB $$ .

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

Exercise #6

BO bisects $∢ABD$ .

$∢\text{ABD}=85$

Calculate the size of

$\sphericalangle ABO\text{.}$

Video Solution

Answer

42.5

Exercise #7

Given the following data:

$∢DBC=90°$

BE intersects the angle $∢\text{DBA}$

Determine the value of $\alpha$

Video Solution

Answer

Exercise #8

BE bisects $∢\text{FBD}$ .

$∢\text{FBE}=25$

Calculate the size of $∢\text{EBD}$ .

Video Solution

Answer

Exercise #9

BD bisects $∢\text{ABC}$ .

$∢EBC=\alpha$

$∢DBE=30$

Calculate the size of $∢\text{ABD}$ .

Video Solution

Answer

$\alpha+30$

Exercise #10

$∢\text{AFB}=60$

$∢\text{AFE}=120$

$∢EFD=80$

FC bisects $∢DFB$ .

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

Video Solution

Answer

Question 1

OC bisects $∢\text{DOB}$ .

$∢KOD=2\alpha$

$∢DOC=\alpha$

$$ ∢KOB=68 $$

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

Question 2

BD bisects $∢\text{ABC}$ .

BE bisects $∢\text{ABD}$ .

$∢\text{ABC}=50$

Calculate the size of $∢\text{ABE}$ .

Question 3

$∢\text{ABC}=\beta$

$∢EBC=\alpha$

BD bisects $$ ∢ABE $$ .

Calculate $∢\text{ABD}$ .

Exercise #11

OC bisects $∢\text{DOB}$ .

$∢KOD=2\alpha$

$∢DOC=\alpha$

$∢KOB=68$

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

Video Solution

Answer

Exercise #12

BD bisects $∢\text{ABC}$ .

BE bisects $∢\text{ABD}$ .

$∢\text{ABC}=50$

Calculate the size of $∢\text{ABE}$ .

Video Solution

Answer

12.5

Exercise #13

$∢\text{ABC}=\beta$

$∢EBC=\alpha$

BD bisects $∢ABE$ .

Calculate $∢\text{ABD}$ .

Video Solution

Answer

$\frac{\beta-\alpha}{2}$