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]
