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Two angles are supplementary. Angle 1 is (3x + 7)° and angle 2 is (4x - 2°). What is the value of x?

Answer 1

Ella Armstrong

82 and 98

Two angles are supplementary.

angle 1 + angle 2 = 180

3 x +7 + 4 x -2 = 180

7 x + 5 = 180

7 x = 180-5

7 x = 175

x = #175/7#

x = 25

angle 1 = 3 x + 7= 3 #xx# 25+7 =75+7 = 82 angle 2 = 4 x - 2 = 4 #xx# 25 -2 = 100-2 = 98

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Answer 2

Allison Allen

Two angles are supplementary if the sum of their measures equals 180 degrees. Therefore, we can set up the equation:

[ (3x + 7)^\circ + (4x - 2)^\circ = 180^\circ ]

Now, we solve for ( x ):

[ 3x + 7 + 4x - 2 = 180 ] [ 7x + 5 = 180 ] [ 7x = 175 ] [ x = \frac{175}{7} ] [ x = 25 ]

So, the value of ( x ) is 25.

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