Question

question 1
1 pr
solve for y.

135°
y°
112°
88°
130
108
115
90

Explanation:

Step1: Recall the formula for the sum of interior angles of a polygon. For a pentagon (5 - sided polygon), the sum of interior angles is \((n - 2)\times180^{\circ}\), where \(n = 5\). So, \((5 - 2)\times180^{\circ}= 3\times180^{\circ}= 540^{\circ}\).

Step2: Identify the known angles. The known angles are \(90^{\circ}\) (right angle), \(135^{\circ}\), \(112^{\circ}\), \(88^{\circ}\), and we need to find \(y\). Let's sum the known angles: \(90 + 135 + 112 + 88\). First, \(90+135 = 225\), then \(225 + 112 = 337\), then \(337 + 88 = 425\).

Step3: Subtract the sum of known angles from the total sum to find \(y\). So, \(y = 540 - 425\).

Answer:

\(115\)