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100 Points! Geometry question. Find each measure. Photo attached. Please show as much work as possible. Thank you!

100 Points! Geometry question. Find each measure. Photo attached. Please show as much-example-1
User Fishbone
by
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1 Answer

6 votes

Answer:

a. 73°

b. 98°

Explanation:

In quadrilateral EFGH

∡E+∡G=180° sum of opposite angle of quadrilateral inside the circle is 180°

substituting value

11x+8+8x+1=180°

19x+9=180°

19x=180=9

19x=171

x=171/19

x=9°

similarly,

∡H+∡F=180° sum of opposite angle of quadrilateral inside the circle is 180°

substituting value

6y-4+5y-3=180°

11y-7=180°

11y=180°+7

11y=187°

y=187/11

y=17°

Now

a. m∡G=8x+1=8*9+1=73°

b. m∡H=6y-4=6*17-4=98°

User Ngong
by
7.7k points

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