Question

in the given figure angle A + Angle B + angle C + angle D + angle E + angle F + Angle G =​

Answer 1

in the given figure angle A + Angle B + angle C + angle D + angle E + angle F + Angle G =​  900.

• Given figure,
• a 7 sided polygon is called the heptagon.
• measure of one interior angle of a polygon
• =(n-2) * 180/n
• where,
• n = number of sides.
• but,
• for n angles, we have
• = n * [(n-2) * 180/n]
• =(n-2) * 180
• given,
• n=7
• =(7-2) * 180
• =900
• ∴ angle A + Angle B + angle C + angle D + angle E + angle F + Angle G =​  900.

Answer 2

$\angle A \ +\angle B \ +\angle C \ +\angle D \ +\angle E \ +\angle F \ +\angle G \ =900^{\circ}$

Explanation:

From the figure, we can see that it is a heptagon by drawing a line connecting all the angles.

Hence, all the sides have the same length and all the interior angles are all the same angles.

Since, the figure has 7 angles, the sum of these angles is $900^{\circ}$

Thus, we have,

$\angle A \ +\angle B \ +\angle C \ +\angle D \ +\angle E \ +\angle F \ +\angle G \ =900^{\circ}$

The measure of each angle of a heptagon can be determined by dividing the total number of angle by 7.

Thus, we have,

$\frac{900}{7} =128.57^{\circ}$

Hence, the angle of each interior angle is $128.57^{\circ}$

Learn more:

(1) brainly.in/question/5430724

(2) brainly.in/question/2388497