II. Keep Trying!
Nos. 16-17 Find the measure of one interior angle in each polygon. Round your answer to the nearest tenth if necessary.
16. Regular 23-gon
17. Regular 16-gon
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II. Keep Trying!
Nos. 16-17 Find the measure of one interior angle in each polygon. Round your answer to the nearest tenth if necessary.
16. Regular 23-gon
17. Regular 16-gon
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Verified answer
Answer:
16. 164.3°
17. 157.5°
Step-by-step explanation:
Formula to find the measure of one interior angle : [(n − 2) × 180] ÷ n
16. n = 23
= [(23 − 2) × 180] ÷ 23
= [21 × 180] ÷ 23
= 3780 ÷ 23
= 164.34782608695652173913043478261
Note: Round-off= 164.3
Answer= 164.3°
17. n = 16
= [(16 − 2) × 180] ÷ 16
= [14 × 180] ÷16
= 2520 ÷16
= 157.5
Note: Do not need to round-off because its already in the nearest tenth
Answer=157.5°