The 2 angles at a vertex are supplementary (one interior and one exterior) the exterior angle is = the the sum of the 2 remote interior angles..
Step-by-step answer:
This is a regular heptagon, means it has 7 <em>congruent</em> sides and 7 <em>congruent </em>vertex angles.
To work with polygons, there is a very important piece of information that you must know to solve the majority of related problems.
This is:
sum of exterior angles of polygons = 360 degrees.
If you don't remember the 360 degrees, think of the sum of exterior angles of an equilateral triangle, which is 3*(180-60)=3*120=360! It works!
For a regular heptagon, c = 360/7=51.43 degrees approx.
This means that each vertex angle measures
vertex angle = 180-c
So since 2d+the vertex angle = 360, we have
2d+(180-c)=360
solve for d:
2d=360-(180-c)=180+c
d=(180+c)/2=90+c/2=115.71 degrees. (approx.)
Answer:
28 degrees
Step-by-step explanation:
step 1
Find the measure of angle 1
----> by supplementary angles
step 2
Find the value of x
----> by corresponding angles
substitute
step 3
Find the measure of angle 2
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
substitute
It's the first answer choice.
Steps:
-3x^2y^2x^4
(Apply the exponent rule)
x^4x^2 = x^2+4 = x^6
= -3x^6y^2
Your answer would be <u>Ninety seven and sixty ninths.</u> Hope this helps!
