Examples with solutions for Sum and Difference of Angles: Generate a random angle

Exercise #1

What is the value of the void angle?

160

Video Solution

Step-by-Step Solution

The empty angle is an angle adjacent to 160 degrees.

Remember that the sum of adjacent angles is 180 degrees.

Therefore, the value of the empty angle will be:

180160=20 180-160=20

Answer

20

Exercise #2

What is the size of angle ABC?

DBC = 100°

DDDBBBCCCAAA10040

Video Solution

Step-by-Step Solution

Given that angle DBC is equal to 100 degrees. Let's look at the letters and note that angle ABC is given and equals 40 degrees

Answer

40

Exercise #3

What is the size of angle ABC?

AAABBBCCC6050

Video Solution

Step-by-Step Solution

In order to calculate the value of angle ABC, we must calculate the sum of all the given angles.

That is:

ABC=60+50 ABC=60+50

ABC=110 ABC=110

Answer

110

Exercise #4

What is the size of angle ABC?

AAABBBCCC701820

Video Solution

Step-by-Step Solution

In order to calculate the value of angle ABC, we will begin by calculating the sum of all the given angles.

That is:

ABC=70+20+18 ABC=70+20+18

ABC=108 ABC=108

Answer

108

Exercise #5

Shown below is the right triangle ABC.

BAC=55° ∢\text{BAC}=55°

Calculate the angle ACB ∢\text{ACB} .

AAABBBCCC55°

Video Solution

Answer

35°

Exercise #6

What is the size of the unlabelled angle?

36

Video Solution

Answer

It cannot be calculated.

Exercise #7

What is the size of the missing angle?

80

Video Solution

Answer

100°

Exercise #8

What is the size of the missing angle?

656565

Video Solution

Answer

It cannot be calculated.

Exercise #9

Calculate the value of the angle X.

XXX4145

Video Solution

Answer

94

Exercise #10

Look at the isosceles triangle below.

AB = AC

20°20°20°60°60°60°50°50°50°BBBAAACCCEEEDDDFFFWhat is the size of angle ACD?

Video Solution

Answer

30°

Exercise #11

Look at the isosceles triangle below.

AB = AC

20°20°20°60°60°60°50°50°50°BBBAAACCCEEEDDDFFF

What is the size of angle DEB?

Video Solution

Answer

30°