Answer:
Let,
A, B, C, D, E are the points.
where,
- A = 62°
- B = 90°
- C = unknown (1)
- D = 90°
- E = unknown (2)
As, we know:
Sum of all angles is 180°
Let "x" be the unknown angle (1) :
➮ ∠ABC = 62° + 90° + x = 180°
➮ ∠ABC = 152° + x = 180°
➮ ∠ABC = x =⟩ 180 - 152 = 28°
<u>∴ unknown angle (1) is 28°</u>
Let "x" be the unknown angle (2) :
➮ ∠CDE = 28° + 90° + x = 180°
➮ ∠CDE = 118° + x = 180°
➮ ∠CDE = x =⟩ 180 - 118 = 62°
<u>∴ unknown angle (2) is 62°</u>
<h2><u>Verification</u><u>:</u><u> </u></h2>
Unknown angle 1 :
➮ ∠ABC = 62° + 90° + 28°
➮ ∠ABC = 180°
Unknown angle 2 :
➮ ∠CDE = 28° + 90° + 62°
➮ ∠CDE = 180°