Question

2x - 50)° and (x + 20)° are a pair of complementary angles. x = ________ ⁰ .

Answer 1

x = 40°

Explanation:

Complementary angles add up to 90° in total measurement.

`(2x-50)+(x+20)=90`

Solve for 'x':

`(2x-50)+(x+20)=90\\\\2x-50+x+20=90\\\\2x+x-50+20=90\\\\3x-30=90\\\\3x-30+30=90+30\\\\3x=120\\\\(3x=120)/(3)\\\\ \boxed{x=40}`

Hope this helps.