Question

1. if ( d^circ = 130^circ ), what is the value of ( g^circ )?

Explanation:

Step1: Find $e^\circ$ (supplementary to $d^\circ$)

Angles on a straight line sum to $180^\circ$.
$e^\circ = 180^\circ - d^\circ = 180^\circ - 130^\circ = 50^\circ$

Step2: Sum known polygon interior angles

The figure is a 4-sided polygon. We know three interior angles: $60^\circ$, $e^\circ=50^\circ$, and $50^\circ$.
Sum of known angles: $60^\circ + 50^\circ + 50^\circ = 160^\circ$

Step3: Find $g^\circ$ (polygon interior angle)

Sum of interior angles of 4-sided polygon is $(4-2)\times180^\circ=360^\circ$.
$g^\circ = 360^\circ - 160^\circ = 200^\circ$

Answer:

$200^\circ$