Question

wWhat is the order of the angles from largest tosmallest?115Angle W, Angle X, Angle YAngle X, Angle W, Angle YAngle X, Angle Y, Angle WAngle Y, Angle W, Angle XХ7Y

Answer 1

We will need to find each angles

Using cosine formula

$x^2=y^2+w^2-2wy\cos X$

From the question given,

x=11 y=5 w=7

Substitute the values into the formula and solve for angle X

$11^2=5^2+7^2-2(7)(5)\cos X$$121=25\text{ + 49-70cosX}$$121=74-70\cos X$

subtract 74 from both-side

121-74 = -70cosX

47 =- 70 cos X

Divide both-side by -70

(-0.6714) = cos X

Take the cos⁻' of both-side

cos⁻' (-0.6714) = X

X= 132.175

Next

Using the cosine formula

y² = x² + w² - 2xw cosY

5² =11² + 7² - 2(11)(7) - cos Y

25 = 121 + 49 - 154 cos Y

25 = 170 -