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Leto [7]
3 years ago
5

NEED HELP WITH GEOMETRY!!!

Mathematics
2 answers:
Bas_tet [7]3 years ago
6 0
You got all of them correct!! Nice job :)
MissTica3 years ago
3 0

Answer:

Part 1) Option A 360\°

Part 2) 36\°

Part 3) Option C 24\°

Part 4) option A 60\°

Part 5) 50\°

Step-by-step explanation:

Part 1) What is the sum of the exterior angles of a convex polygon?

we know that

The <u>Exterior Angle Sum Theorem</u> states that the exterior angles of any polygon will always add up to 360 degrees

therefore

the answer part 1) is 360\°

Part 2) What is the measure of each exterior angle in a regular 10-sided polygon?

we know that

The sum of the exterior angles of any polygon will always add up to 360 degrees

Let

x-----> the measure of each exterior angle in a regular 10-sided polygon

we have that

10x=360\°

solve for x

x=360\°/10

x=36\°

Part 3) If each exterior angle or a regular polygon measures 15\°, how many sides does the polygon have?

Let

x-----> the number of sides of the polygon

we have that

15\°x=360\°

solve for x

x=360\°/15\°

x=24\°

Part 4) The exterior angles of a triangle measure x°, (2x)°, and (3x)°. What is the value of x?

Remember that

The sum of the exterior angles of any polygon will always add up to 360 degrees

so

x\°+2x\°+3x\°=360\°

solve for x

6x\°=360\°

x=360\°/6

x=60\°

Part 5) The exterior angles of an octagon are 42°, 55°, 39°, 20°, 62°, 45°, and 47°. What is the measure of the eighth exterior angle?

Let

x-----> the measure of the eight exterior angle of the octagon

Remember that

The sum of the exterior angles of any polygon will always add up to 360 degrees

we have that

42\°+55\°+39\°+20\°+62\°+45\°+47\°+x\°=360\°

solve for x

310\°+x\°=360\°

x=360\°-310\°

x=50\°

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