Question

calculate the value of x in each of the following figures. Give reasons for your answer
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Answer 1

Step-by-step explanation:

angle STQ = PTG = x+12 (vertically opposite angles)

angle MSR = RSN = 57 (vertically opposite angles)

angle STQ = MSR (alternate interior angles)

therefore,

x+12= 57

x=57-12

x= 45

Answer 2

Answer:

Angle TSM = 57° ( VERTICAL ANGLES)

Now, Angle TSM = Angle GTP ( CORRESPONDING ANGLES)

SO, x + 12 = 57°

x = 45° Ans.

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