Identify the angles which are more than right angles and which are less than right angles.
Answer
639.6k+ views
Hint: We would use the interior angles of the triangle to explain the angles.
Complete step by step answer:
To identify which angles are more than right angles and which are less than right angles we use the interior angles of the triangle.
We know that
Angle whose measure is equal to\[{90^ \circ }\]is known as the right angle.
We have to find that is identify the angles which are more or less than \[{90^ \circ }\]
Initially let us consider the angles whose measure is less than\[{90^ \circ }\], then we can name them generally as follows,
Angles whose measure is less than \[{90^ \circ }\] (right angle) are called acute angles.
And,
Now let us consider the angles whose measure is more than\[{90^ \circ }\]then we can name them generally as follows,
The angles whose measure is more than \[{90^ \circ }\] (right angle) are called obtuse angles.
Let us name the angle when it equals \[{90^ \circ }\]
When the angle between a pair of sides is equal to \[{90^ \circ }\] it is called a right-angle triangle.
And,
Now let us again name the angle when it exactly is\[{180^ \circ }\]
An whose measure is exactly \[{180^ \circ }\] a straight line
We can see the figure below to study about angles,
Note: In an equilateral triangle, all three angles measure \[{60^ \circ }\], making it an acute triangle. Acute triangle. Dividing the right angle will give us two or more acute angles since each newly formed angle will be less than \[{90^ \circ }\].
Complete step by step answer:
To identify which angles are more than right angles and which are less than right angles we use the interior angles of the triangle.
We know that
Angle whose measure is equal to\[{90^ \circ }\]is known as the right angle.
We have to find that is identify the angles which are more or less than \[{90^ \circ }\]
Initially let us consider the angles whose measure is less than\[{90^ \circ }\], then we can name them generally as follows,
Angles whose measure is less than \[{90^ \circ }\] (right angle) are called acute angles.
And,
Now let us consider the angles whose measure is more than\[{90^ \circ }\]then we can name them generally as follows,
The angles whose measure is more than \[{90^ \circ }\] (right angle) are called obtuse angles.
Let us name the angle when it equals \[{90^ \circ }\]
When the angle between a pair of sides is equal to \[{90^ \circ }\] it is called a right-angle triangle.
And,
Now let us again name the angle when it exactly is\[{180^ \circ }\]
An whose measure is exactly \[{180^ \circ }\] a straight line
We can see the figure below to study about angles,
Note: In an equilateral triangle, all three angles measure \[{60^ \circ }\], making it an acute triangle. Acute triangle. Dividing the right angle will give us two or more acute angles since each newly formed angle will be less than \[{90^ \circ }\].
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