<u>Given</u><u> </u><u>Information</u><u> </u><u>:</u><u>-</u>
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- Each exterior angle of a regular polygon has a measure of 40°
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<u>To</u><u> </u><u>Find</u><u> </u><u>:</u><u>-</u>
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- The number of sides of the polygon
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<u>Formula</u><u> </u><u>Used</u><u> </u><u>:</u><u>-</u>
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<u>Solution</u><u> </u><u>:</u><u>-</u>
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Using the formula,
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Thus, the polygon is a nonagon, and hence has 9 sides.
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Answer: 4.6
Step-by-step explanation:
GH is equal to 4.6 since it is congruent to JH. GJ is one line, which makes angles GKH and JKH supplementary angles. Since angle GKH = 90, angle JKH must also equal 90, making these triangles similar. However, if you wish to see it done out mathematically, the following explanation is there:
3.6^2 + HK^2 = 4.6^2
HK^2 = 4.6^2 - 3.6^2
HK^2 = 8.2
HK = 2.86
HK^2 + GK^2 = GH^2
8.2 + 12.96 = GH^2
GH = 4.6
Divide the number of feet by 3
The answer is c because of order of operations
Step-by-step explanation:
Since , internal sum of angle of triangle is 180°
So,
66 + x +49 + x+83 = 180
or, 198 + 2x = 180
or, 2x = 180 -198
or, 2x = -18
hence, x = - 9
Now angle A = x + 49
= (-9) + 49
= 40
<u>Hence </u><u>measure</u><u> </u><u>of </u><u>angle </u><u>A </u><u>is </u><u>4</u><u>0</u><u>°</u><u>.</u>