Question

<1 and <2 are supplementary

<1=3x°
<2=(2x-25)°

select from the drop down menu to correctly answer the question.

what is the value of x? 20, 30, 41, 56, 61

Answer 1

x = 41

Explanation:

`\because \angle 1 \:\&\: \angle 2 \: are \: supplementary\\</p><p>\therefore \angle 1 + \angle 2= 180°\\</p><p>\therefore 3x°+ (2x-25)°= 180°\\</p><p>\therefore 5x°-25°= 180°\\</p><p>\therefore 5x°= 180°+ 25°\\</p><p>\therefore 5x°= 205°\\</p><p>\therefore x = (205)/(5)\\</p><p>\huge \purple{\boxed {\therefore x = 41}}`