A regular hexagon ABCDEF is shown……work out the size of angle x
2 answers:
Answer:
x=30
Step-by-step explanation:
Since this a regular hexagon, each angle measure is congruent.
A hexagon interior angles add to be
(
However, in the triangle, only part of angle b and angle f is in the triangle. However angle a is fully in the triangle so
Angle A=120.
So using the triangle interior theorem, angle b and f must add up to 180.
However, since this is a regular hexagon, the sides are equal so this is a isoceles triangle.
Using the base isoceles triangle theorem, angle b and angle f of the triangle must be equal so
You might be interested in
Answer:
No
Step-by-step explanation:
Given: Angles of a triangle are equal to 90 degrees , 50 degrees, and 60 degrees
To check : if it possible to build a triangle with given angles
Solution:
According to angle sum property of a triangle, sum of angles of a triangle is equal to
Here,
sum of given angles =
Therefore, it is <u>not possible</u> to construct a triangle with given angles.
I am unsure about the very last problem but I can help with the first two
1) (y+1)+4
If we combine the numbers 1 and 4, we get +5 and can isolate the numbers from the variable.
This would give us
2) (6*r)*7
remember that we do not have to explicitly state 6*r
Instead, we can write it as 6r
this helps us get rid of the parentheses
now we can write it as
I hope this helps!:)
1) (y+1)+4
If we combine the numbers 1 and 4, we get +5 and can isolate the numbers from the variable.
This would give us
2) (6*r)*7
remember that we do not have to explicitly state 6*r
Instead, we can write it as 6r
this helps us get rid of the parentheses
now we can write it as
I hope this helps!:)