Question

Plz help I dont understand this at all

Answer 1

1) the sum of all three angles in a triangle is always 180, so number 5 is w=80

2)I assume they mean x. since the x angle and the 70 angle are a linear pair they must add to 180, so x has to be 110

3) the top 60 angle makes a vertical angles with the angle right below it. since vertical angles are congruent, the angle below has to be 60 also. again all 3 must add to 180 so o is also 60

4) these are all linear pairs. every angle shown has to be 90

Answer 2

5.) We know that all of the angles in a triangle add up to 180 degrees. To solve:

$65+35=100$

$180-100=80$

m∠w = 80°

6.) x° and 70° should equal 180°. Let's set up an equation:

$x+70=180$

m∠x=110°

7.) We know that due to the vertical angles theorem, 60° will be congruent to 60° where they intersect. Since we now know two angles inside the bottom triangle, we can set up an equation to solve for k.

$60+60+k=180$

$120+k=180$

$k=60$

m∠k = 60°

8.) Finally, we know that angles next to each other when they are perpendicular = 180°. Since we know that proof, we can set up an equation to solve for p.

$90+p=180$

$p=90$

m∠p = 90°