Question

given rectangle fghi below. if ( \text{m}angle ijf = 112^circ ), find ( \text{m}angle gjh ).

Explanation:

Step1: Identify supplementary angle

$\text{m}\angle IJF + \text{m}\angle IJG = 180^\circ$

Step2: Calculate $\text{m}\angle IJG$

$\text{m}\angle IJG = 180^\circ - 112^\circ = 68^\circ$

Step3: Use vertical angles property

$\text{m}\angle GJH = \text{m}\angle IJG$

Answer:

$\text{m}\angle GJH = 68^\circ$