Properties, Characteristics and proofs: Finding the size of angles in a triangle

Examples with solutions for Properties, Characteristics and proofs: Finding the size of angles in a triangle

Exercise #1

Look at the square below:AAABBBCCCDDD

What is the sum of the angles in the square?

Step-by-Step Solution

According to the properties of the square, all angles are right angles.

Since there are 4 angles that are all equal to 90 degrees:

4×90=360 4\times90=360

Answer

360º 360 º

Exercise #2

Look at the square below:

AAABBBCCCDDD

What is the size of angle A?

Video Solution

Answer

90°

Exercise #3

Look at the square below:

AAABBBDDDCCC12

What is the size of angle D1 D_1 ?

Video Solution

Answer

45° 45\degree

Exercise #4

Look at the square below:

AAABBBDDDCCC12

What is the sum of the angles

D1+B D_1+B ?

Video Solution

Answer

135 135

Exercise #5

Look at the square below:

AAABBBDDDCCC1212

What is the sum of the angles D1+B+A1 D_1+B+A_1 ?

Video Solution

Answer

180 180

Exercise #6

Look at the square below:

AAABBBDDDCCC

What is the sum of the angles of the four triangles?

Video Solution

Answer

720 720