Robert has made a mask consisting of two triangles and a regular hexagon. Identify all true statements based on the image of Robert’s mask.

Choices:
[]x=72
[]y=162
[]x=120
[]y=138
[]y=198
[]x=132

The value of x is 132 and y is 198.

Step-by-step explanation:

The measure of the entire angle in a rotation is 360°.

To find the angle x :

It is given that one part of 360° is 108°

The part of angle inside the regular hexagon can be calculated as (180(n-2))/n

where, n is the number of sides in a regular hexagon. (n=6)

⇒ 180×(6-2) / 6

⇒ 180×4 / 6

⇒ 720 / 6

⇒ 120

Therefore, the interior angle of the regular hexagon = 120°

⇒ x+108+120 = 360

⇒ x = 360 - 228

⇒ x = 132

To find the angle y :

It is given that one part of 360° is 42°

The other part is the interior angle of regular hexagon = 120°

⇒ y+42+120 = 360

⇒ y = 360 - 162

⇒ y = 198

step-by-step explanation:

the correct answer is a) "catholic church".

the proposals that liberals in mexico made during 1855 were particularly focused on a person's individual rights, such as the freedom of speech, the freedom of conscience, freedom of assembly, and the right to possess weapons.

when the constitution was formally published 2 years later (1857). it also contained an article which permitted education free from any religious influence, the removal of the catholic church institutional privileges, and the sale of property belonging to the church. all of these provisions were clearly against the catholic church interests.