Option C: [tex]\dfrac{29\pi}{36}[/tex] is the radian measure of 145 degrees.
Radian is a measure which takes a full circular rotation ( 360 degrees ) as 2π radians.
or symbolically:
[tex]360^{\circ}=2\pi^c \\\\1^{\circ} = (\dfrac{\pi}{180})^{c\\[/tex]
Thus, converting 145 degrees to radian will be as follows:
[tex]1^{\circ} = (\dfrac{\pi}{180})^c\\145^{\circ} = 145 \times (\dfrac{\pi}{180})^c\\\\or\\145^{\circ} = (\dfrac{29\pi}{36})^c[/tex]
Thus, Option C: [tex]\dfrac{29\pi}{36}[/tex] is the radian measure of 145 degrees.
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