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.