Question

1. in the figure below, if ( x = 80^{circ} ) then ( y ) is:

a) ( 5^{circ} )
b) ( 10^{circ} )
c) ( 20^{circ} )
d) ( 25^{circ} )
e) ( 30^{circ} )

Explanation:

Step1: Analyze the relationship between angles

From the figure, we can see that \(x = 90^{\circ}-y\) (since the right - angle is \(90^{\circ}\) and \(x + y=90^{\circ}\)).

Step2: Solve for \(y\)

Given \(x = 80^{\circ}\), substitute into the equation \(y=90^{\circ}-x\).
So \(y = 90^{\circ}-80^{\circ}\)

Answer:

\(y = 10^{\circ}\), so the answer is B.