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

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. So, 30°+(a + 23°)+101°=180°.

Step2: Simplify the left - hand side

Combine like terms: (30°+23°+101°)+a=180°. 154°+a = 180°.

Step3: Solve for a

Subtract 154° from both sides: a=180° - 154°. a = 26°.

Answer:

26