Question

What is the value of x? Enter your answer in the box. x = ° The image shows a 7sided polygon A B C D E F G with all angle measures given except for angle G which is marked as x degrees. Angle A is 146 degrees. Angle B is 122 degrees. Angle C is 142 degrees. Angle D is 140 degrees. Angle E is 110 degrees. Angle F is 142 degrees.

Answer 1

x=98°

Explanation:

(n-2) × 180°= total number of angles in a polygon.

Where n=the number of sides of the polygon.

In this case, n=7.

So, inserting 7 into the equation, we get:

(7-2)×180°=900°

With the angles we have been given, we should add them together, and take them away from the total, to find the missing angle.

146+122+142+140+110+142=802

900-802=98

Answer=98°=x

Hope this made sense!

Answer 2

m∠G = 98°

Explanation:

Step 1: Find the sum of interior angles

180(7 - 2)

180(5)

900

Step 2: Subtract known angles

900 - (146 + 122 + 142 + 140 + 110 + 142)

x = 98°