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

Exercise #1

Calculate the size of the unmarked angle:

160

Video Solution

Step-by-Step Solution

The unmarked angle is adjacent to an angle of 160 degrees.

Remember: the sum of adjacent angles is 180 degrees.

Therefore, the size of the unknown angle is:

180160=20 180-160=20

Answer

20

Exercise #2

Determine the size of angle ABC?

DBC = 100°

DDDBBBCCCAAA10040

Video Solution

Step-by-Step Solution

We can see from the diagram that angle DBC equals 100 degrees.

We can also see that the size of angle ABC is shown and equals 40 degrees.

Therefore, the answer is 40.

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 missing angle?

80

Video Solution

Answer

100°

Exercise #7

What is the size of the missing angle?

656565

Video Solution

Answer

It cannot be calculated.

Exercise #8

What is the size of the unlabelled angle?

36

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°