Question

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

Answer 1

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.

Answer 2

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

$269\°+x=360\°$

$x=360\°-269\°=91\°$