Question

find the value of z.

1. ( z ^ { circ } =? )

( 52 ^ { circ } )
( 71 ^ { circ } )
( 175 ^ { circ } )
( 185 ^ { circ } )

Explanation:

Step1: Find the adjacent interior angle

The adjacent interior angle to \(128^{\circ}\) is \(180^{\circ}-128^{\circ}=52^{\circ}\)

Step2: Use the triangle angle - sum property

In a triangle, the sum of interior angles is \(180^{\circ}\). Let the three interior angles be \(52^{\circ}\), \(57^{\circ}\), and \(z^{\circ}\). Then \(z^{\circ}=180^{\circ}-(52^{\circ} + 57^{\circ})\)

$$z^{\circ}=180^{\circ}-109^{\circ}=71^{\circ}$$

Answer:

\(71^{\circ}\)