Question

What's the answer?????...??.???

Answer 1

105 degrees

Explanation:

To start this think about what you know has to be true about this:

1. Angle WRQ and PRQ when added will equal 180
2. Triangle PRQ when all the angles are added will equal 180
3. We have to find x to find what the angle measure of angle WRQ is

So let's start to write an equation:

Let's say angle PRQ is y.

20x + 5 + y = 180

27 + y + 14x + 8 = 180

Now let's use substitution to solve for y:

20x + 5 + y = 180

subtract 5 from both sides:

20x + y = 175

subtract 20x from both sides:

y = -20x + 175

Let's now plug in y to our other equation:

27 + (-20x + 175) + 14x + 8 = 180

now combine all like terms:

-6x + 210 = 180

now solve for x:

subtract 210 from both sides:

-6x = -30

divide both sides by -6:

x = 5

Now that we have x, let's plug it in for the equation of angle WRQ:

20(5) +5

Simplify:

105

Hope this helps!