Question

what is the value of x in the diagram? 143 90 53 43

Explanation:

Step1: Find the adjacent interior angle

The adjacent interior angle to \(143^{\circ}\) is \(180 - 143=37^{\circ}\) (supplementary angles).

Step2: Use the triangle angle - sum property

In a right - triangle (one angle is \(90^{\circ}\)), the sum of angles is \(180^{\circ}\). Let the third angle be \(x\). Then \(x + 90+37 = 180\).
Simplify the equation: \(x=180-(90 + 37)\).
\(x=180 - 127\).
\(x = 53\).

Answer:

53