Question

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

options: ( 120^circ ), ( 130^circ ), ( 50^circ ), ( 60^circ )

Explanation:

Step1: Find $e^\circ$ (linear pair)

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

Step2: Find $c^\circ$ (linear pair)

$c^\circ = 180^\circ - 60^\circ = 120^\circ$

Step3: Sum known quadrilateral angles

$c^\circ + d^\circ + e^\circ = 120^\circ + 130^\circ + 50^\circ = 300^\circ$

Step4: Calculate $g^\circ$ (quadrilateral angle sum)

$g^\circ = 360^\circ - 300^\circ = 60^\circ$

Answer:

$60^\circ$