Question

Find the measure of x in rectangle ABCD shown in Figure 17.25.​

Answer 1

$\huge \bold{ANSWER:-}$

A and D are diagonal

B and C are diagonal

$\implies \bold{180 - 116 = 64°}$

$\implies \bold{2x + 64 = 180°}$

$\implies \bold{2x =180 - 64 }$

$\implies \bold{2x = 116°}$

$\implies \bold{x = \huge{ \frac{ \cancel{116} {}^{ \: 58} }{ \cancel2} }}$

$\huge \red \star \: \: \bold{x =58° }$

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Answer 2

Let take their intersecting point is O

<ODC and <DCO are same in measurement. <ODC + <DCO=116°

2=116°

=58°

Therefore x=58°