Question

1. find the value of x. 127° 87° x° 127 = 87x

Explanation:

Step1: Recall the exterior angle theorem

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. In this triangle, the exterior angle is \(127^{\circ}\), one non - adjacent interior angle is \(x^{\circ}\) and the other is \(87^{\circ}\). So we can write the equation \(x + 87=127\).

Step2: Solve for \(x\)

To find the value of \(x\), we subtract \(87\) from both sides of the equation \(x + 87 = 127\).
\(x=127 - 87\)
\(x = 40\)

Answer:

The value of \(x\) is \(40\).