Question

before you continue, we recommend completing the day 2 activity.
\practice makes progress.\
which of the following best explains how the
values of ( x ) and ( y ) can be calculated?
the value of ( x ) can be calculated using the equation
( x + 153 = 180 ), and the value of ( y ) can be calculated
using the equation ( 91 = 180 - y ).
the value of ( x ) can be calculated using the equation
( x + 91 = 153 ), and the value of ( y ) can be calculated
using the equation ( 91 + y = 153 ).
the value of ( x ) can be calculated using the equation
( x + 153 = 180 ), and the value of ( y ) can be calculated
using the equation ( 91 + y = 153 ).

Explanation:

Step1: Use the property of adjacent angles

Adjacent angles on a straight - line sum to \(180^{\circ}\). So, \(x + 153=180\).

Step2: Use the property of the exterior angle of a triangle

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(91 + y=153\).

Answer:

The value of \(x\) can be calculated using the equation \(x + 153 = 180\), and the value of \(y\) can be calculated using the equation \(91 + y = 153\).