Question

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

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is 180°. So, 2a + 2a+56° = 180°.

Step2: Combine like - terms

Combining the terms with 'a', we get 4a+56° = 180°.

Step3: Isolate the variable term

Subtract 56° from both sides: 4a=180° - 56°, so 4a = 124°.

Step4: Solve for 'a'

Divide both sides by 4: a=$\frac{124^{\circ}}{4}$ = 31°.

Answer:

31°