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umka2103 [35]
3 years ago
14

Number 10?? please help.

Mathematics
1 answer:
Mariana [72]3 years ago
5 0

Answer:

∠GFM= 124°

Step-by-step explanation:

∠GFH= 180° -90° -(5x +9)° (∠ sum of △FGH)

∠GFH= 90° -5x° -9°

∠GFH= (81 -5x)°

∠GFM +∠GFH= 180° (adj. ∠s on a str. line)

25x -1 +81 -5x= 180

20x +80= 180 <em>(</em><em>simplify</em><em>)</em>

20x= 180 -80 <em>(</em><em>-80</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

20x= 100

x= 100 ÷20 <em>(</em><em>÷</em><em>20</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

x= 5

∴∠GFM

= 25x -1

= 25(5) -1

= 124°

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