Question

How 11/24×180° = (165/2)°

Please explane in very simple form

Answer 1

Dear student the steps are as explained by the above given mentor. I will explain how the conversions are made.

180° is in fact equivalent to π radian. It is proved in maths and I'm not going deep into it. Now just understand,

180° = 'pi' radian= 3.14159
So,
1° = pi/180
Also,
1 radian = (180/pi)° = 57.2958°
So in the question we convert degree to radian first,
So as you asked 180° become 3.14159 (pi radian) and last a radiam number (1.4399) convert to degree (1.4399×57.2958°) as 82.5°


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