Angles P and Q are congruent. m<P = (x + 7) and m<Q = 2x + 2) find the degree measures of angle P and Q

Please help and example how you got the answer I wanna know how to solve it as well..

I made a mistake your purpose to find the degree measure for Q

since P and Q are congruent, their measures are equal. So,

x + 7 = 2x + 2

find x, then you have something to work with.

how do I find x

To find the degree measures of angle P and angle Q, we'll start by equating the expressions for their measures and solving for x.

Given:
m<P = (x + 7)
m<Q = 2x + 2

Since angle P and angle Q are congruent, their measures are equal. So, we can set up an equation:

x + 7 = 2x + 2

Now, let's solve for x:

x + 7 = 2x + 2
Subtract x from both sides:
7 = x + 2
Subtract 2 from both sides:
5 = x

Now that we have the value of x, we can substitute it back into the expressions for m<P and m<Q to find their respective measures.

For angle P:
m<P = (x + 7)
Substituting the value of x, we get:
m<P = (5 + 7) = 12

For angle Q:
m<Q = 2x + 2
Substituting the value of x, we get:
m<Q = 2(5) + 2 = 10 + 2 = 12

Therefore, both angle P and angle Q have a measure of 12 degrees.

you're kidding, right? Just solve the equation I showed you. Don't forget your Algebra I now that you're taking geometry!

subtract x from both sides, subtract 2 from both sides.