A picture frame is shaped as a heptagon. The measure of one angle is 144°. The remaining interior angles are congruent. What is the measure of each remaining interior angle in the picture frame?

answers;

126°

180°

174°

150°

Question

A picture frame is shaped as a heptagon. The measure of one angle is 144°. The remaining interior angles are congruent. What is the measure of each remaining interior angle in the picture frame?

answers;

126°

 180°

 174°

 150°

campbell_st · Answer

Hepta means 7

so find the angle sum of the heptagon using the formula 

$$A = (n - 2) \times 180$$

where n is the number of sides. 

since you know 1 angle is 144, subtract this from the answer above. 

Lastly, if the remaining angles are congruent, divide the angle sum - 144 by 6 to get the size of the other angles. 

because 7 sides, means 7 angles, and if you know 1, there are 6 that you don't know. 

hope this helps.

anonymous · Answer

I got 756. Do i subtract 144 again or do I just divide it by 6?

campbell_st · Answer

just divide 756 by 6 to get the size of the congruent angles.