Question

8. In the given figure, find the measure of each of the angles DOE and EOA.


I have sent the figure​

Answer 1

Step-by-step explanation:

Sum of all the angles(112°+86°+90°+x+3x=360°)

4x=360-288

x=72/4

x=18°

Angle DOE=x=18°

Angle EOA=3x=54°

Answer 2

In the given figure, we need to find out the values of ∠DOE and ∠EOA

We know that

Angles around a point sum up to 360°

Using the above concept,

∠BOA + ∠BOC + ∠COD + ∠DOE + ∠EOA = 360°

⇒90° + 112° + 86° + x° + 3x° = 360°

⇒ 288° + 4x = 360°

⇒ 4x = 360° - 288°

⇒ 4x = 72°

⇒ x = 72° ÷ 4

⇒ x = 18°

Therefore,

• ∠DOE = x = 18°
• ∠EOA = 3x = 3 × 18 = 54°

For verifying whether the answer is correct or not, you can add all the angles. If it sums up to 360°, then the answer is correct Else it's incorrect

Required angles = 18°, 54°