heshott91
Answered

Find the missing values of the variables. The diagram is not to scale.




A.

x = 75, y = 101


B.

x = 91, y = 75


C.

x = 101, y = 125


D.

x = 75, y = 91

Find the missing values of the variables. The diagram is not to scale. A. x = 75, y = 101 B. x = 91, y = 75 C. x = 101, y = 125 D. x = 75, y = 91 class=

Verified Answer :

msyatham

The answer is B. 

To find y, it is 105 +y = 180 (striaght line)

y = 75. In the options above only 'b' has y = 75.

calculista

Answer:

The answer is the option B

\(x=91\°,y=75\°\)

Step-by-step explanation:

we know that

The sum of the internal angles of the polygon is equal to

\(S=(n-2)*180\°\)

where n is the number of sides

In this problem

\(n=2\)

so

substitute

\(S=(4-2)*180\°=360\°\)

Step 1

Find the value of y

\(105\°+y\°=180\°\) -------> by supplementary angles

Solve for y

\(y=180\°-105\°=75\°\)

Step 2

Find the value of x

The sum of the internal angles of the polygon is equal to \(360\°\)

so

\(125\°+69\°+75\°+x=360\°\)

Solve for x

\(269\°+x=360\°\)

\(x=360\°-269\°=91\°\)