Question

2.
$a=$
$b=$
$c=$

Explanation:

Step1: Find the value of \(a\)

In the right - angled triangle on the right, using the angle sum property of a triangle (\(90^{\circ}+43^{\circ}+a^{\circ}=180^{\circ}\)).

$$a = 180-(90 + 43)=47$$

Step2: Find the value of \(b\)

Since \(a\) and \(b\) are vertical angles, \(b=a\). So \(b = 47\)

Step3: Find the value of \(c\)

In the right - angled triangle on the left, using the angle sum property of a triangle (\(90^{\circ}+b^{\circ}+c^{\circ}=180^{\circ}\)). Substitute \(b = 47\)

$$c=180-(90 + 47)=43$$

Answer:

\(a = 47\), \(b = 47\), \(c = 43\)