Question

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

Answer 1

Answer:

x = 40°

Step-by-step explanation:

Complementary angles add up to 90° in total measurement.

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

Solve for 'x':

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

Hope this helps.