Question

In ABCD ≅ MNOP, m∠A = x - 10 and m∠M =2x-30. What is m∠A?

a. 10
b. 20
c. 30
d. 40

Answer 1

so what does that weird looking equals sign mean?

Answer 2

congruent @FibonacciChick666

Answer 3

good, so when two things are congruent, what does that mean?

Answer 4

If ABCD is congruent to MNOP then angle A = angle m

Answer 5

X-10=2x-30

Answer 6

Hint if <A is congruent to <m what does that mean for their measure of angle

Answer 7

Find x

Answer 8

Angle a =x-10

Answer 9

exactly find x and then once you get the value of x substitute that value in the x - 10 to find the measure of Angle A that's all

Answer 10

he/she obviosuly confused otherwise why would ask question so here's the full answer.

we know that M<a = M<m that means the measure of Angle A is the same as the measure of angle m

x - 10 = 2x - 30
solve for x
1st subtract 2x from both sides
x - 2x - 10 = 2x - 2x - 30
-x - 10 = -30
now add 10 to both sides
-x = -30 + 10
-x = -20
now divide -1 on both sides to get rid of the negative sign in x
x = -20/-1
x = 20

Now that we found the value of x we may substitue it in the m<A = x - 10
to find the measure of angle A
m<A = 20 - 10
m<A = 10 hope that helps

NOTE: Since we said that m<A = m<M then that means there measures would be equal you can check if your answer correct or not by finding measure of angle m
m<M = 2x - 30
m<M = 2(20) - 30
m<M = 40 - 30
m<M = 10
which is the same as m<A which means our answer is correct

Answer 11

let me know if you have any questions

Answer 12

Perfect

Answer 13

Thank you so much @Will.H I was so confused

Answer 14

you welcome :)