Question

the diagram shows a triangle. what is the value of x? x =

Explanation:

Step1: Recall the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). Let the three angles of the triangle be \(x\), \(47^{\circ}\), and \(32^{\circ}\). Then the equation is \(x + 47+32=180\).

Step2: Solve the equation for \(x\)

First, simplify the left - hand side of the equation: \(x+(47 + 32)=x + 79\). So, \(x+79 = 180\).
Subtract 79 from both sides of the equation: \(x=180 - 79\).
\(x = 101\).

Answer:

\(101\)