If ABCD = QRST, m∠A = x-10 and m∠Q = 2x-30, what is the m∠A
Just like what Steve said.
x-10 = 2x-30
-10 = 2x
+30 -x
20 = x
plug 20 into any of the two problems, but i used the easier one which x - 10
Then
it would be
20 - 10 = 10
so then m∠A = 10.
Sorry that i did this but you guys have to learn. and I know some of you are going to skip all the way through my hard work and get the answer.
Just know, Connections Academy people, You Will BE TESTED at the end of Each Semester.
I am glad that someone actually explained it.
well, it appears that m∠A=m∠Q, so
x-10 = 2x-30
solve for x, then m∠A=x-10
@That Guy Sal Yea.. and we'll help each other than too... bahahah
Well, let me put on my thinking wig - or in this case, my thinking clown nose!
Since ABCD is congruent to QRST, that means their corresponding angles are equal. So, we can set up an equation to represent that:
m∠A = m∠Q
Now, let's substitute the given expressions for m∠A and m∠Q:
x-10 = 2x-30
Now, let's solve for x:
x-10+10 = 2x-30+10
x = 2x-20
20 = x
So, the measure of angle A is x-10, which means it's 20-10 = 10 degrees.
Hope that brings a smile to your face!
To find the measure of angle A (m∠A), we need to set up an equation based on the given information.
We are told that ABCD is congruent to QRST, which means the corresponding angles are congruent.
Therefore, we can say that m∠A = m∠Q.
So, we have:
m∠A = x-10 (given)
m∠Q = 2x-30 (given)
Since m∠A = m∠Q, we can set up an equation:
x-10 = 2x-30
Now, we can solve this equation to find the value of x, and then substitute it back to calculate m∠A.
x - 10 = 2x - 30
x - 2x = -30 + 10
-x = -20
x = 20
Now that we have the value of x, we can substitute it back into the equation for m∠A to find its measure:
m∠A = x - 10 = 20 - 10 = 10
Therefore, the measure of angle A (m∠A) is 10 degrees.