Question

I need homework help

Answer 1

w = 80, x = 50, z = 65, y = 30

Explanation:

Left side first:

Triangle with unknown angle, w and 40 is 180. Let the unknown angle be a.

So a + w + 40 = 180

But to solve for w, first we need to solve for a:

120 plus a, gives you a straight line (meaning 180).

120 + a = 180

a = 180 - 120

a = 60

Now solve for w:

a + w + 40 = 180

60 + w + 40 = 180

w + 100 = 180

w = 100-180

w = 80

Solve for x:

40 plus x makes 90 degree angle.

40 + x = 90

x = 90 - 40

x = 50

Solve z: (same thing as 120 and a)

w + 2z - 30 = 180

80 + 2z - 30 = 180

2z + 50 = 180

2z = 180 -50

z = 130 /2

z = 65

Find the angle that contain z:

2z - 30

2(65) - 30

130 - 30

100

Solve for y:

x + 2z - 30 + y = 180

50 + 100 + y = 180

y + 150 = 180

y = 180 - 150

y = 30

Check: Remember all the angle in a triangle always equal to 180.

Left triangle:

a + w + 40 = 180 if the statement is true than we are right.

60 + 80 + 40 = 180

180 = 180 //Matched

Right triangle:

2z - 30 + x + y = 180

100 + 50 + 30

180 = 180 //Matched

//Hope this helps

Answer 2

W= 80°

X= 50°

Y= 30°

Z= 65°

Explanation:

W:

First, since we know the exterior angle is 120° and all straight lines are 180°, we can just subtract them to find the interior angle of 60°. Now a triangle's interior angles also add up to 180° so we add 40 + 60 and subtract it from 180.

Answer = 80 Degrees

X= A right angle is 90 Degrees. Since we know one angle is 40, we can assume the other one has to be 50 to add up to 90.

Answer = 50 Degrees

(This one first to find out Y)

Z = Since we know that W is 80 Degrees, we can apply the same rule. A straight line is 180 degrees so just subtract 180 from 80.

2z - 30 = 100 Degrees.

Now we have to add 30 to both sides to leave the variable on one side.

2z = 130

Now just divide both sides by 2.

Answer = 65 Degrees

Y = Since we know X and product of Z's equation, just add both together. You should get 150. Now subtract that from 180.

Answer = 30 Degrees

Hope this Helped!