coralillie
Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

How do I find b,c and d? A is 108°

How Do I Find Bc And D A Is 108 class=

Sagot :

charlief22

Answer:

b = 72

c = 36

d = 144

Step-by-step explanation:

As every angle in the pentagon are equal (the lines inside every angle mean they are equal), angles on a straight line must add up to 180° ∴

A = 108°

108 + b = 180

180 - 108 = b

72 = b

As the top left angle of the triangle is also on a straight line with one of these angles, the value of this angle is also 72°.

All angles in a triangle must add up to 180° ∴

72 + 72 + c = 180

144 + c = 180

c = 180 - 144

c = 36

Angles on a straight line must add to 180° ∴

d + c = 180

d + 36 = 180

d = 180 - 36

d = 144

Hope this helps!

Answer:

  • ∠B = 72°
  • ∠C = 36°
  • ∠D = 144°

Step-by-step explanation:

First, we must find the total amount of degrees in the pentagon shape.

  • => 180(n - 2)
  • => 180(5 - 2)
  • => 180(3)
  • => 540

Hence, the amount of degrees in the pentagon shape is 540°.

_________________________________________

You have stated that A is 108°.

Check:

  • => 540 ÷ 5
  • => 108°

Hence, it is proven that this pentagon is a regular pentagon. With that, we are given a clue to find ∠B.

  • => 180 = 108 + ∠B
  • => ∠B = 72

Hence, the value of ∠B is 72°

_________________________________________

Since ∠B is 72°, we know that the angle in the top left of the triangle is also 72. The triangles sum up-to 180°.

  • => 72 + 72 + c = 180°
  • => 144 + c = 180°
  • => ∠C = 36

Hence, the value of ∠C is 36°.

_________________________________________

We have got a clue, let's use that clue to solve ∠D.

  • => 180 = 36 + ∠D
  • => -36 + 180 = ∠D
  • => 144 = ∠D

Hence, the value of ∠D is 144°.

_________________________________________

[tex]BrainiacUser1357[/tex]

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.