In AWXY, X = 1.2 cm, ZX=45° and Y=108°. Find the length of w, to the nearest 10th

The length of w is 0.8 cm

Step-by-step explanation:

In Δ WXY

x is the opposite side to ∠X

w is the opposite side to ∠W

y is the opposite side to ∠Y

∵ m∠X = 45°

∵ m∠Y = 108

∵ The sum of the measures of the interior angle of a triangle is 180°

∴ 45 + 108 + m∠W = 180

→ Add the like terms in the left side

∵ 153 + m∠W = 180

→ Subtract 153 from both sides

∴ m∠W = 27°

Now we can use the sine rule to find the length of w

∵ = =

→ Use the first 2 ratios to find w

∵ x = 1.2 cm

∵ =

→ By using cross multiplication

∴ w × sin(45) = 1.2 × sin(27)

∴ w sin(45) = 1.2 sin(27)

→ Divide both sides by sin(45)

∴ w = 0.7704474263

→ Round it to the nearest tenth

∴ w = 0.8 cm

∴ The length of w is 0.8 cm

answer: yes i agree that you should not put it on/p>

step-by-step explanation: the reason for this is that it wastes other peoples time and also make them fail as well and that is never good.

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.