homeworkhelp176
homeworkhelp176 homeworkhelp176
  • 09-12-2020
  • Mathematics
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Circle theorems please help

Circle theorems please help class=

Respuesta :

jimrgrant1 jimrgrant1
  • 09-12-2020

Answer:

n = 28°

Step-by-step explanation:

The angle at the centre is twice the angle on the circle subtended on the same arc.

Also angles subtended on the same arc are congruent , thus

m = n

Then

35 + m = [tex]\frac{1}{2}[/tex] (98 + n ) ← multiply both sides by 2 to clear the fraction

70 + 2m = 98 + n , but since m = n, then

70 + 2m = 98 + m ( subtract m from both sides )

70 + m = 98 ( subtract 70 from both sides )

m = 14 and n = 28

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