Geometry Angles Learning

Geometry angle is formed by the two wave’s starts from the same point. The arms of the two waves formed between common points called as the vertex of an angle. The two line segments formed from the same point. Now we are going to see about the geometry angles learning.

Geometry angles learning:

Acute angle:

If measuring of the angle is less than 90° called as an acute angle. Example: 45°, 57° are some example for acute angles.

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Obtuse angle:

If the angle measurement is greater than the 90° and within 180° are called as the obtuse angle. Example: 127°, 136° are some examples for obtuse angles.

Straight angle:

An angle whose measure is exactly 180°, then it is called a Straight angle

Reflex angle:

If angle measuring is more than 180° but less than 360°, then it is called a reflex angle.

Complementary angle:

When the two angles add up to 90° called as the complementary angle.

Example: 45°, 45° are complementary angles.

Supplementary angle:

When the two angles add up to 360° , then they are called Supplementary angles.

120°, 60° are Supplementary angles

Problems for geometry angles learning:

Geometry angles learning - Example 1:

Determine the angle whose measure is six times its complementary angle

Solution:

Let us assume the angle = x

Its complementary =90°- x

x = 6(90°-x)

x = 540°-6x

6x=540°

X=90°

Geometry angles learning - Example 2:

Determine the two supplementary angles in the ratio 5:10

Solution:

Let the two angles be 5x and 10x

The angles are supplementary to each other,5x+10x=180

15x=180, divide by 15 on both the sides,

x = 12

The supplementary angles are 120° and 60°

Geometry angles learning - Example 3:

Determine the acute angle of the triangle whose measurement of one of the acute angle of a triangle is 45°.

Solution:

The measuring of the two acute angles equals to 90°.

If one acute angle of a right triangle is 45°, then the measure of the other acute angle is 90° - 45° = 45°

Geometry angles learning - Example 4:

Determine the supplementary of an angle whose measurement is 45 degrees which is more than thrice of that original angle. Find its measurement?

Solution:

The supplementary angles are the sum of two angles up to 180 degrees.

Therefore: X + (2X+45) = 180°

3X = 135°;

X = 45° and the angle 2 = 135°.

So angle X = 50°.

The other angle = 135°.