Examples with solutions for Parts of a Triangle: Calculate Angles in Quadrilaterals

Exercise #1

The quadrilateral ABCD is shown below.

Calculate the size of angle BAD ∢\text{BAD} .

AAABBBCCCDDD7195120

Video Solution

Answer

74

Exercise #2

Below is the quadrilateral ABCD.

Calculate the size of the angle BCD ∢\text{BCD} .

AAABBBCCCDDD8710168

Video Solution

Answer

104

Exercise #3

Shown below is the quadrilateral ABCD.

Calculate the size of the angle BCD ∢\text{BCD} .

AAABBBCCCDDD48119

Video Solution

Answer

103

Exercise #4

Below is the quadrilateral ABCD.

EBC is an equilateral triangle.

Calculate the size of angle ADC ∢ADC .

AAABBBCCCDDDEEE10025

Video Solution

Answer

115

Exercise #5

Look at the quadrilateral below.

AC||BD

Calculate the the size of the angle BAC ∢\text{BAC} .

AAABBBDDDCCC503611536

Video Solution

Answer

73

Exercise #6

The quadrilateral ABCD is shown below.

ΔADC is isosceles.

AD = AC

Calculate the size of the angle ABC ∢ABC .

AAABBBCCCDDD186870

Video Solution

Answer

94

Exercise #7

Look at the quadrilateral below.
Calculate the size of angle BDC ∢\text{BDC} .

AAABBBDDDCCC3x-42x+86x+10x-2

Video Solution

Answer

27

Exercise #8

Look at the quadrilateral below.

Calculate the size of angle BAD ∢BAD .

AAABBBCCCDDDx+32x-25x-22x+11

Video Solution

Answer

38