Question

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

Explanation:

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

$e^\circ = 180^\circ - d^\circ = 180^\circ - 130^\circ = 50^\circ$

Step2: Identify known angles for polygon sum

The figure is a 4-sided polygon; interior angles sum to $(4-2)\times180^\circ=360^\circ$. Known angles: $60^\circ$, $e^\circ=50^\circ$, $50^\circ$.

Step3: Calculate $g^\circ$

$g^\circ = 360^\circ - 60^\circ - 50^\circ - 50^\circ = 120^\circ$

Answer:

120°