Question

what is y? 55 42 97 83

Explanation:

Step1: Find \(x\) using triangle angle sum property

In the left - hand triangle, by the angle sum property of a triangle (\(x + 26^{\circ}+y=180^{\circ}\)), and in the large triangle, \(x+(26^{\circ}+55^{\circ})+42^{\circ}=180^{\circ}\).
First, solve for \(x\) in the large - triangle equation:

$$x+26^{\circ}+55^{\circ}+42^{\circ}=180^{\circ}$$

$$x + 123^{\circ}=180^{\circ}$$

$$x=180^{\circ}-123^{\circ}=57^{\circ}$$

Step2: Find \(y\) using the left - hand triangle

Substitute \(x = 57^{\circ}\) into the left - hand triangle equation \(x + 26^{\circ}+y=180^{\circ}\)

$$57^{\circ}+26^{\circ}+y=180^{\circ}$$

$$83^{\circ}+y=180^{\circ}$$

$$y=180^{\circ}-83^{\circ}$$

$$y = 97^{\circ}$$

Answer:

97