Question

what is the value of x in the diagram? 39 29 90 180

Explanation:

Step1: Recall the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\).

Step2: Set up the equation

Let the right - angle be \(90^{\circ}\), one angle is \(61^{\circ}\) and the other is \(x^{\circ}\). Then \(x + 61+90=180\).

Step3: Solve for \(x\)

Simplify the left - hand side of the equation: \(x+151 = 180\). Subtract \(151\) from both sides: \(x=180 - 151\).

Answer:

\(29\)