Question

Number 10?? please help.

Answer 1

∠GFM= 124°

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 (simplify)

20x= 180 -80 (-80 on both sides)

20x= 100

x= 100 ÷20 (÷20 on both sides)

x= 5

∴∠GFM

= 25x -1

= 25(5) -1

= 124°