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

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

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

Answer

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, 31°+37° + 28b=180°.

Step2: Simplify the left - hand side

First, add the known angles: 31 + 37=68. The equation becomes 68+28b = 180.

Step3: Isolate the term with b

Subtract 68 from both sides of the equation: 28b=180 - 68. So, 28b=112.

Step4: Solve for b

Divide both sides by 28: b=\frac{112}{28}=4.

Answer:

4