<u>Answer:</u>
- ∠B = 72°
- ∠C = 36°
- ∠D = 144°
<u>Step-by-step explanation:</u>
<u>First, we must find the total amount of degrees in the pentagon shape.</u>
- => 180(n - 2)
- => 180(5 - 2)
- => 180(3)
- => 540
<u>Hence, the amount of degrees in the pentagon shape is 540°.</u>
<h3>_________________________________________</h3>
<u>You have stated that A is 108°.</u>
<u><em>Check:</em></u>
<u>Hence, it is proven that this pentagon is a regular pentagon. With that, we are given a clue to find ∠B.</u>
- => 180 = 108 + ∠B
- => ∠B = 72
<u>Hence, the value of </u><u>∠B is 72°</u>
<h3>_________________________________________</h3>
<u>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°.</u>
- => 72 + 72 + c = 180°
- => 144 + c = 180°
- => ∠C = 36
<u>Hence, the value of </u><u>∠C is 36°.</u>
<h3>_________________________________________</h3>
<u>We have got a clue, let's use that clue to solve ∠D.</u>
- => 180 = 36 + ∠D
- => -36 + 180 = ∠D
- => 144 = ∠D
<u>Hence, the value of</u><u> ∠D is 144°.</u>
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