Examples with solutions for Properties of the Deltoid: Finding angle size in a kite

Exercise #1

Given the following deltoid:

Find the size of the angle ADC ∢\text{ADC}

90°90°90°AAABBBCCCDDD

Video Solution

Answer

90

Exercise #2

Given the following deltoid:

Find the size of the angle B ∢B

78°78°78°42°42°42°AAABBBCCCDDD

Video Solution

Answer

120

Exercise #3

Given the following deltoid:

Find the size of the angle C ∢C

AAABBBCCCDDD78130

Video Solution

Answer

22

Exercise #4

Look at the deltoid below.

Calculate the size of angle A.

AAABBBCCCDDD65

Video Solution

Answer

50

Exercise #5

Given the following deltoid:

Find the size of the angle OBC ∢\text{OBC}

AAABBBCCCDDDOOO65

Video Solution

Answer

25

Exercise #6

Given the following deltoid:

Find the size of the angle BCD ∢BCD

AAABBBCCCDDDOOO6030

Video Solution

Answer

60

Exercise #7

Given the following deltoid:

Find the size of the angle BAC ∢\text{BAC}

AAABBBCCCDDD50100

Video Solution

Answer

55

Exercise #8

Given the following deltoid:

Find the size of the angle ACB ∢ACB

AAABBBCCCDDD10090

Video Solution

Answer

40