Bisector: Finding the size of angles in a triangle

Examples with solutions for Bisector: Finding the size of angles in a triangle

Exercise #1

Shown below is the triangle ABC.

Angle A is 80 degrees and is intersected by AD.

Calculate angle DAB.

AAABBBCCCDDD

Video Solution

Answer

40°

Exercise #2

The triangle ABC is shown below.

BD bisects B.

Angle B is 66 degrees.

Calculate the angle DBC ∢\text{DBC} AAABBBCCCDDD

Video Solution

Answer

33°

Exercise #3

The triangle ABC is shown below.

CD bisects C.

Angle C equals 122 degrees.

Calculate angle ACD ∢\text{ACD} .AAABBBCCCDDD

Video Solution

Answer

61°

Exercise #4

a is a bisector.

BAC=80° ∢BAC = 80°

Calculate angle α \alpha .

αααaaaAAABBBCCC

Video Solution

Answer

40

Exercise #5

ABC =130 ∢ABC\text{ }=130

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

αααaaaAAABBBCCC

Video Solution

Answer

65

Exercise #6

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

AAABBBCCCDDD40

Video Solution

Answer

80

Exercise #7

The triangle ABC is shown below.

BD bisects B.

Angle B is a right angle.

Calculate angle ABD ∢\text{ABD} .

AAABBBCCCDDD

Video Solution

Answer

45°

Exercise #8

AD bisects of A in the triangle ABC.

Angle B equals 35 degrees, while angle C equals 45 degrees.

Calculate the angle BAD. \sphericalangle\text{BAD.} AAABBBCCCDDD35°45°

Video Solution

Answer

50°

Exercise #9

AD bisects A in triangle ABC as shown below.

Angles B and C both equal 50 degrees.

Calculate angle CAD. \sphericalangle\text{CAD.} 50°50°50°50°50°50°AAABBBCCCDDD

Video Solution

Answer

40°