Question

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

Explanation:

Step1: Recall the sum of interior angles of a triangle

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

Step2: Set up the equation

Let the three angles of the triangle be \(46^{\circ}\), \(49^{\circ}\), and \(b^{\circ}\). Then \(46 + 49 + b=180\).

Step3: Simplify the left - hand side of the equation

\(46+49 = 95\), so the equation becomes \(95 + b=180\).

Step4: Solve for \(b\)

Subtract 95 from both sides of the equation: \(b=180 - 95\).
\(b = 85\)

Answer:

\(85\)