Angle DEF and Angle FEG are complementary. mDef=(3x-4)°, and mDEG=(5x+6). Find x.
2 answers:
Answer:
x = 11
Step-by-step explanation:
Complementary means they add up to 90°
So add the angles up and set them equal to 90°
3x - 4 + 5x + 6 = 90
ADD the x's
8x - 4 + 6 = 90
COMBINE the -4 and 6
8x +2 = 90
SUBTRACT 2 from both sides.
8x = 88
DIVIDE by 8 on both sides.
8x/8 = 88/8
x = 11
Answer:
x = 11
Step-by-step explanation:
Complementary angles are the angles which are added up to 90°.
As, the given angles are complementary,
(3x - 4) + ( 5x + 6 ) = 90
Now solve for x.
(3x - 4) + ( 5x + 6 ) = 90
3x - 4 + 5x + 6 = 90
8x -4 + 6 = 90
8x + 2 = 90
8x = 90 - 2
8x = 88
Divide both sides by 8.
x = 11
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