Characteristics and Proofs of a Parallelogram: Calculating angle size in a parallelogram

Using the properties of the perimeter of the parallelogramCalculating the length of a side in a parallelogramIs this a parallelogram?True / false
Question 1

Look at the parallelogram below.

Calculate the size of angle x.

AAABBBCCCDDD75°x

Question 2

A parallelogram is shown below.

Calculate the size of angle x.

AAABBBCCCDDD115°x

Question 3

A parallelogram is shown below.

Calculate the size of angle x.

AAABBBCCCDDD130°x

Question 4

A parallelogram is shown below.

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

AAABBBCCCDDD4536

Question 5

A parallelogram is shown below.

Calculate the size of angle \( ∢DAB \) .

AAABBBCCCDDD4044

Examples with solutions for Characteristics and Proofs of a Parallelogram: Calculating angle size in a parallelogram

Exercise #1

Look at the parallelogram below.

Calculate the size of angle x.

AAABBBCCCDDD75°x

Video Solution

Answer

75

Exercise #2

A parallelogram is shown below.

Calculate the size of angle x.

AAABBBCCCDDD115°x

Video Solution

Answer

65

Exercise #3

A parallelogram is shown below.

Calculate the size of angle x.

AAABBBCCCDDD130°x

Video Solution

Answer

50

Exercise #4

A parallelogram is shown below.

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

AAABBBCCCDDD4536

Video Solution

Answer

81

Exercise #5

A parallelogram is shown below.

Calculate the size of angle ∢DAB ∢DAB .

AAABBBCCCDDD4044

Video Solution

Answer

96