Question

Angle DEF and Angle FEG are complementary. mDef=(3x-4)°, and mDEG=(5x+6). Find x. ​

Answer 1

x = 11

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 2

x = 11

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

Hope this helps you :-)

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