please help me!! what would x be?? solve for X

Supplementary Angles : Supplementary angles are two angles that form a line, the sum of the two angles is 180 degrees
Complementary Angles : Complementary angles are two angles that form a right angle , the sum of the two angles is 90 degrees
Vertical Angles : Vertical angles are angles opposite of each other formed on intersecting lines, the two angles are congruent ( equal to each other )

Based off of these three angle relationships we can identify the two angles as supplementary angles as the two angles shown form a line therefore we know the sum of those two angles is 180 degrees. Knowing this we can create an equation.

Creating an equation:

We know that the two angles are supplementary angles and we also know that supplementary angles add up to 180 degrees. So the sum of the two expressions represented by the two given angles must equal 180.

In other words 9x - 14 + 5x - 2 = 180

Solving for x

Know that we have created an equation we can solve for x algebraically.

9x - 14 + 5x - 2 = 180

==> combine like terms

14x - 16 = 180

==> add 16 to both sides

14x = 196

==> divide both sides by 14

x = 14

And we are done!

Learn more about supplementary angles here ! https://brainly.com/question/15648954

DᴀʀᴋPᴀʀᴀᴅᴏx DᴀʀᴋPᴀʀᴀᴅᴏx · Answer 2 · 2022-05-25T18:45:30+02:00

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Let's solve for x } [/tex]~

[tex] \textsf{As we can see, the sum of measures of the} [/tex][tex] \textsf{ marked two Angles is equal to 180° } [/tex]

[tex] \texttt{[ by linear pair property ]} [/tex]

[tex]\qquad \sf \dashrightarrow \:9x - 14 + 5x - 2 = 180[/tex]

[tex]\qquad \sf \dashrightarrow \:9x + 5x - 14 - 2 = 180[/tex]

[tex]\qquad \sf \dashrightarrow \:14x - 16 = 180[/tex]

[tex]\qquad \sf \dashrightarrow \:14x = 180 + 16[/tex]

[tex]\qquad \sf \dashrightarrow \:14x = 196[/tex]

[tex]\qquad \sf \dashrightarrow \:x = 196 \div 14[/tex]

[tex]\qquad \sf \dashrightarrow \:x = 14[/tex]

[tex] \texttt{Therefore, the value of x is 14} [/tex]

I Hope you understood the whole procedure ~