Question

In triangle PQR, what is the triangle Q? Please answer as fast as possible! 100 POINTS!!!

Answer 1

Answer:

105 degrees

Step-by-step explanation:

The sum of the angles in a triangle add up to 180. Although we don't the know the numerical values of the angles, we can create an equation with the given expressions:

<P + <Q + <R = 180

(6x + 5) + (11x - 5) + x = 180

18x = 180

x = 10

Now, plug this value of x into the expression for Q:

<Q = 11x - 5 = 11 * 10 - 5 = 110 - 5 = 105

Thus, the measure of angle Q is 105 degrees.

Hope this helps!

Answer 2

Answer:

105 degrees

Step-by-step explanation:

The angles in a triangle must add to 180 degrees

<Q +<P + <R =180

We know <Q is 11x-5, <P is 6x+5 and <R is x, so we can substitute them in

11x-5+6x+5+x=180

Combine like terms

11x+6x+x +5 -5 =180

18x=180

Divide both sides by 18

x=10

Now we know x, and we can substitute that in to to find <Q

<Q=11x-5

<Q=11(10)-5

<Q=110-5

<Q=105