Question

the heptagon has three equal angle each of 120 degree and four equal angle find the size of equal angle ​

Answer 1

Answer:

So, the answer is x=135

Answer 2

Answer:

The value of equal angle is 135°

Step-by-step explanation:

• The Heptagon has seven sides and seven angles.
• According to the question, the value of three equal angle = 120°
• Other four angles are equal.
• Let the the value of each four equal angle = x
• The sum of the angles of the polygon= (n-2) ×180° , where n is the number of sides of the polygon.
• Then, the sum of the angles of the Heptagon= (7-2)×180°
• =5×180°
• =900°
• So, According to the question,
• sum of seven angles of Heptagon=900°
• sum of three equal angles+sum of four equal angles = 900°
• 3×120°+4×x=900° (The value of each four equal angle = x)
• 360°+4x=900°
• 4x=900°-360°
• 4x=540°
• x=540°/4
• x=135°
• Conclusion:
• The value of each four equal angle is 135°