alyssa7564
Answered

Could someone plss help witht this question.. due at 12
It's 11:21 CT time for me
And could you show steps please

Thanks in advance

Could someone plss help witht this question.. due at 12 It's 11:21 CT time for me And could you show steps please Thanks in advance class=

Answer :

Answer:

x = 12.2;  angles are 77.6 and 102.4 total to 180

Step-by-step explanation:

The equations they are giving you for the two angles he was correct about.  When a line intersects two parallel lines, the angles on the opposite sides of the transverse line will equal 180 degrees.

So those two equations when added together must equal 180 degrees.

(5x + 16.6) + (9x - 7.4) = 180

Rearrange the equation

5x + 9x + 16.6 - 7.4 = 180

Add the x values together and subtract the regular numbers

14x + 9.2 = 180

Subtract 9.2 from both sides

14x = 170.8

Divide both sides by 14

x=12.2

The top angle in your drawing is 5x + 16.6  or

5 ( 12.2) + 16.6 = 77.6 degrees

The bottom angle in your drawing is 9x - 7.4 or

9 ( 12.2) - 7.4  = 102.4

Both angles added together is 77.6 + 102.4 = 180

infiresman07

Answer:

×=25 ; angle = 107 degree

Step-by-step explanation:

if a transversal line intersect two parallel lines then the sum of two consecutive exterior angles is 180 degrees.

The two consecutive exterior angles are 3x+32 and x+48.

3x+32+x+48=1803x+32+x+48=180

4x+80=1804x+80=180

4x=180-804x=180−80

4x=1004x=100

x=25x=25

The value of x is 25.

The measure of two consecutive exterior angles are

3x+32=3(25)+32=1073x+32=3(25)+32=107

x+48=25+48=73x+48=25+48=73

The measure of the larger angle is 107 degrees.

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