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Please help and try to explain guys I have a test tomorrow

Please Help And Try To Explain Guys I Have A Test Tomorrow class=

Sagot :

Answer:

∠R = 17°

∠Q = 100°

∠P = 63°

Step-by-step explanation:

In a triangle all the degrees added together should be 180°. Because we know this, we can add up every component and set it to 180 like this:

[tex]4x - 5 + 6x - 2 +x = 180[/tex]

After combining like terms we get:

[tex]11x - 7 = 180[/tex]

add 7 to both sides and then divide by 11 to get:

[tex]x = 17[/tex]

Now that we know x we know ∠R = 17°.

In order to find the rest we plug in 17 for x into their given formulas. For ∠Q:

[tex]6(17) - 2 = 100[/tex]

And for ∠P you can plug in to get the answer or do 180 - 100 - 17 (subtracting the other 2 angles):

180 - 100 - 17 = 63

or

[tex]4(17) - 5 = 63[/tex]

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