Introduction for solving geometric angles:
The figure which consists of two rays with the same starting point and the angle which can be formed by the two arms on either side of the initial point and it is the vertex angle .There are different types of angles which based on their measuring degrees. Now we are going to see about the solving of geometric angles.
Types of solving geometric angles:
The different types of solving geometric angles is given by,
Right angle
Acute angle
Obtuse angle
Straight angle
Complementary angle
Supplementary angle
Right angle:
A right angle whose measure is 90°, is called a right angle.
Acute angle:
An acute angle whose measure is less than 90° is called an acute angle.
30°, 60°, 70° etc are all acute angles.
Obtuse angle:
An Obtuse angle whose measure is greater than 90° is called an Obtuse angle
120°, 135°, 140° etc are all Obtuse angle
Straight angle:
A Straight angle whose measure is 180° is called a Straight angle
Complementary angle:
A complementary angle is nothing but the sum of two angles measures 90° are called complementary angles.
30°, 60° are complementary angles .
Supplementary angle:
A supplementary angle is nothing but the sum of the two angles which measures 180° are called Supplementary angles.
120°, 60° are Supplementary angles. I have recently faced lot of problem while learning geometry tutoring online free, But thank to online resources of math which helped me to learn myself easily on net.
Example for solving geometric angles:
Ex1:
A geometric angle is 14° more than its complement. What is its measure?
Sol:
Let x° be the required angle.
Its complement=90°-x°
By the given condition:
90°-x°+14°=x°
2x°=104°
X°=52°
Hence required angle=52°
Ex2:
The measure of an geometric solving angle is double the calculate of its supplementary angle. Find its measure.
Sol:
Let the required angle =x°.
Its supplementary angle =180°-x°
By the given condition =2(180°-x°)
=360°-2x°
=120°
Hence required angle=120°
Ex3:
The two supplementary angles are the ratio2:3.Find the angles .
Sol:
Let the two angles in degrees be 2x and 3x
By the given condition=2x+3x=180°
5x=180°
X=36°
Hence the required angles are 2×36°=72° and
3×36°=108°
The figure which consists of two rays with the same starting point and the angle which can be formed by the two arms on either side of the initial point and it is the vertex angle .There are different types of angles which based on their measuring degrees. Now we are going to see about the solving of geometric angles.
Types of solving geometric angles:
The different types of solving geometric angles is given by,
Right angle
Acute angle
Obtuse angle
Straight angle
Complementary angle
Supplementary angle
Right angle:
A right angle whose measure is 90°, is called a right angle.
Acute angle:
An acute angle whose measure is less than 90° is called an acute angle.
30°, 60°, 70° etc are all acute angles.
Obtuse angle:
An Obtuse angle whose measure is greater than 90° is called an Obtuse angle
120°, 135°, 140° etc are all Obtuse angle
Straight angle:
A Straight angle whose measure is 180° is called a Straight angle
Complementary angle:
A complementary angle is nothing but the sum of two angles measures 90° are called complementary angles.
30°, 60° are complementary angles .
Supplementary angle:
A supplementary angle is nothing but the sum of the two angles which measures 180° are called Supplementary angles.
120°, 60° are Supplementary angles. I have recently faced lot of problem while learning geometry tutoring online free, But thank to online resources of math which helped me to learn myself easily on net.
Example for solving geometric angles:
Ex1:
A geometric angle is 14° more than its complement. What is its measure?
Sol:
Let x° be the required angle.
Its complement=90°-x°
By the given condition:
90°-x°+14°=x°
2x°=104°
X°=52°
Hence required angle=52°
Ex2:
The measure of an geometric solving angle is double the calculate of its supplementary angle. Find its measure.
Sol:
Let the required angle =x°.
Its supplementary angle =180°-x°
By the given condition =2(180°-x°)
=360°-2x°
=120°
Hence required angle=120°
Ex3:
The two supplementary angles are the ratio2:3.Find the angles .
Sol:
Let the two angles in degrees be 2x and 3x
By the given condition=2x+3x=180°
5x=180°
X=36°
Hence the required angles are 2×36°=72° and
3×36°=108°
