The diagram below shows scalene triangle WXY. The measure of WXY 71°. Which is true about the diagram? Select two options.

A. m∠WYX = 46°

B. m∠YWX = 63°

Step-by-step explanation:

In Δ WXY

∵ m∠WXY = 71°

- ∠WYX is vertically opposite with the angle of measure 46°

∴ m∠WYX = 46°

- The sum of the measures of the interior angles of a Δ is 180°

∴ m∠WXY + m∠WYX + m∠YWX = 180°

∴ 71 + 46 + m∠YWX = 180°

- Add like terms in the left hand side

∴ 117 + m∠YWX = 180°

- Subtract 117 from both sides

∴ m∠YWX = 63°

Let us check the true statement about the diagram

A. m∠WYX = 46° ⇒ true

B. m∠YWX = 63° ⇒ true

C. m∠WXY = 46° ⇒ false it is 71°

D. m∠YWX = 46° ⇒ false it is 63°

F. m∠WYX = 134° ⇒ false it is 46°

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.