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PLEASE HELP
lines m and p are cut by the transversal n. determine the value of x. write the measures of the six angles. show all work


PLEASE HELP Lines M And P Are Cut By The Transversal N Determine The Value Of X Write The Measures Of The Six Angles Show All Work class=

Sagot :

x = 36

Step-by-step explanation:

The angles 4x and x are supplementary, meaning they add up to 180; therefore we have

[tex]4x + x = 180[/tex]

[tex]5x = 180[/tex]

dividing both sides by 5 gives

[tex]x = 36[/tex]

the measure of angle x is 36 and that of 4x is 4 * 36 = 144

The angle opposite to 4x also measures 144 and the one opposite to x is 36.

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Answer:

x° + 4x° = 180°

5x° = 180°

x° = 180°/5

x° = 36°

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