Question

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

Answer 1

∠R = 17°

∠Q = 100°

∠P = 63°

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:

`4x - 5 + 6x - 2 +x = 180`

After combining like terms we get:

`11x - 7 = 180`

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

`x = 17`

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:

`6(17) - 2 = 100`

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

`4(17) - 5 = 63`