Question

Find The Unknown Marked Angles In The Given Figures.

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Answer 1

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✿ Cʜᴇᴄᴋ Tʜᴇ Aᴛᴛᴀᴄʜᴀᴍᴇɴᴛ.

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✿ Tʀɪᴀɴɢʟᴇ⇝

A triangle is a two-dimensional closed figure with 3 sides. It is a polygon with three corners, three vertices and three angles joined together forming a closed diagram. We use the symbol ∆ to denote a triangle.

✿ Tʏᴘᴇs Oғ Tʀɪᴀɴɢʟᴇ⇝

• Acute-angle
• Obtuse-angle
• Right-angle
• Isosceles triangle
• Equilateral triangle
• Scalene Triangle

✿ Acute triangle⇝

• An acute angle triangle is a triangle in which all the three interior angles are less than 90 degrees.
• Each one of the angles a, b and c is less than 90 degrees.

✿ Obtuse-angle⇝

• An obtuse triangle is a triangle in which one of the interior angles is more than 90 degrees.
• Angle a is more an obtuse while angle b and c are acute.

✿ Right Triangle⇝

• A right triangle is a triangle in which one of the angles is exactly 90 degrees.  The hypotenuse is side of a right triangle with the longest length.
• In the illustration above, angle a = 90 degrees while angle b and c are acute angles.

✿ Isosceles triangle⇝

• An isosceles triangle is a triangle in which two sides and two angles are equal. Equal lengths of a triangle are shown by making an arc on each side.
• In the diagram above, the length of side AB = AC and ∠ ABC =∠ ACB.

✿ Equilateral triangle⇝

• An equilateral triangle has all the three sides equal and all three interior angles equal too. In this case, each interior angle of an equilateral triangle is 60 degrees. An equilateral triangle is sometimes referred to as an equiangular triangle because all the three angles are equal.
• In an equilateral triangle, the sides AB = BC = AC and ∠ ABC =∠ ACB = ∠ BAC

✿ Scalene Triangle⇝

• A scalene triangle is a triangle in which all the sides have different measures and all the interior angles are also different.

✿ Pʀᴏᴘᴇʀᴛɪᴇs Oғ Tʀɪᴀɴɢʟᴇ⇝

The properties of triangles have a broad use. Many mathematicians used it in solving their problems. Euclidean geometry and trigonometry make great use of properties of triangles.

✿ Here are a few basic properties of triangle:⇝

• ⇝A triangle is a 2-D polygon
• ⇝A triangle has 3 sides, 3 angles and 3 vertices.
• ⇝The sum of lengths of any two sides of a triangle is more than the length of the remaining side.
• ⇝The sum of the lengths of the three sides gives the perimeter of a triangles.
• ⇝The area of a triangle is equal to the product of the base and the height.

Answer 2

Answer:

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