bluebubbles064
bluebubbles064 bluebubbles064
  • 18-05-2020
  • Mathematics
contestada

Find the value of z.

Find the value of z class=

Respuesta :

Hi1315
Hi1315 Hi1315
  • 25-05-2020

Answer:

[tex]60 \: degrees[/tex]

Step-by-step explanation:

[tex]180(n - 2)[/tex]

you have to put the number of sides for n

[tex]180(n - 2) \\ 180(6 - 2) \\ 180 \times 4 \\ = 720[/tex]

720 is the sum of interior angles. so to find the value of an angle you have to divide 720 by the number of angles.

[tex] \frac{720}{6} = 120 \: \: degrees[/tex]

we know that,

interior angle + exterior angle = 180 degrees

[tex]120 + z = 180 \\ z = 180 - 120 \\ z = 60 \: \: degrees[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer Link

Otras preguntas

Answer this question with a clear explanation to be marked as Brainiest ✨✨✨✨✨✨✨✨
how are females discriminated against in sporting activities
when making decisions about which products to carry in your store or warehouse a source of good advice on market trends is?
Find the measures of the numbered angles in a rhombus DEFG
An angle measures 78° less than the measure of its complementary angle. What is the measure of each angle?
Penelope is passionate about the environment and animal rights. She lives in Oregon and has found out that California, her neighboring state, has recently passe
someone please help me work this out??
Help me to solve all of this questions
Each body paragraph should begin with: A quote A fact or statistic An interesting story A topic sentence
Which system/organ is corona virus vaccines targeting?