Question

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Answer 1

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Answer 2

Answer:

16 (a) 2x + 2y = 180

    (b) 90

    (c) 65

Step-by-step explanation:

(a) Here, we observe that EA is a straight line, therefore, ∠EOA is 180.

So, the eqaution including y and x is ⇒ y+y+x+x = 180

                                                             ⇒ 2y + 2x = 180

                                                           

Therefore, The equation of y and x is 2x + 2y = 180      

(b) ∠ BOD = x + y

From the equation we got above, i.e, 2x + 2y = 180 , we can say that

⇒ 2x +2y = 180

⇒ 2 (x + y) = 180

⇒ x+y = 180/2 = 90

Therefore, ∠BOD = 90    

(c) We found out that x + y = 90

If y = 25° , then we can say that

⇒x + 25 = 90

⇒x = 90 - 25

⇒x = 65°                  

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