Answer:
D) 20°
Step-by-step explanation:
Using the triangle sum theorem, you know that every triangle's interior angles add up to 180°. Therefore the bottom triangle's missing angle can be found by giving it the variable x.
57° + 30° + x = 180°
Simplify: 87° + x =180°
x=93°
By the vertical angles theorem, the vertical angle directly across this angle is congruent to this one. Meaning that the top triangle's angle are 67°, 93°, and unknown, which we can assign y. We can use the same method from above here.
67° + 93° + y = 180°
Simplify: 160° + y = 180°
y=20°
1. 2√2
2. √5
3. 5√3
4. 10
5. 4√2
6. 3√5
7. 4√3
8. 5√5
9. 3√2
10. 3√3
11. 4
12. 6
13. 5√2
14. 2√3
Here is your answer:
Move all terms with m to the left, all other terms to the right:
m + 2n + -2n = -2n + p
Combine like terms:
2n + -2n = 0
m + 0 = -2n + p
Which would equal "m = -2n + p" after you simplify.
Hope this helps!
~Nonportrit
