Question

4. An exterior angle of a triangle is 106º and its two interior opposite angles are equal. Find each of these equal angles.​

Answer 1

Given :

• An exterior angle of a triangle is 106º and its two interior opposite angles are equal.

To Find :

• Each of these equal angles.

Solution :

Let's Assume,

• The equal angles be x

• x + x = 106
• 2x = 106
• x = 106/2
• x = 53°

Therefore :

• The two interior opposite angles are 53°.

Knowledge Desk :

• A triangle has four vertices
• A triangle has three edges
• A triangle has three sides
• A triangle has three angles
• The sum of angle of a triangle is equal to 180⁰
• Perimeter of triangle = Sum of all sides
• Area of triangle = 1/2 × base × height
• Area of triangle (heron's formula) = √s(s- a) (s - b) (s -c)
• Semi perimeter of triangle = a+b+c/2
• Triangle is closed and 2D shape
• Equilateral triangle, scalene triangle and isosceles triangle are different types of triangles according to their sides
• Acute triangle, right triangle and obtuse triangle are different types of triangles according to their angles
• A triangle is also a polygon

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