Question

can anyone answer the question in the attachment

Answer 1

Answer

67.5°

Step-by-step explanation

I have drawn another figure in the image in which I have marked an extra point, please see that

We know that ∠A =∠C

Let us take ∠A =∠C = y

In Δ ABC by angle sum property

∠A + ∠B + ∠C = 180°

y + ∠B + y = 180°

2y + 55° = 180°

2y = 180 - 55

2y = 125

y = 125 ÷ 2

y = 62.5

Therefore, ∠A =∠C = y = 62.5°

In Δ DOC,

75° = ∠DOC + ∠C

75° = ∠DOC + 62.5°

∠DOC = 75 - 62.5

∠DOC = 12.5°

∠EOA = ∠DOC   {Vertically opposite angles}

∠EOA= 12.5°

x = ∠A + ∠EOA   {Exterior angle property}

x = 55° + 12.5°

x = 67.5°

Answer 2

Answer:

The value of x is 34°