Question

Help please!!

angle a and angle b are complementary angles. find angle a and angle b

angle a= x°
angle b= (2x+75)°

Answer 1

a + b = 90

angle a= x°

angle b= (2x+75)°

3x + 75 = 90 subtract 75 from both sides

3x= 15 divide by 3

x=5

a = 5

5+b = 90 subtract 5 from both sides

b = 85

Answer 2

if ∡a and ∡b are complementary angles, that simply means that ∡a + ∡b = 90°.

`\bf \stackrel{\measuredangle a}{x}~~+~~\stackrel{\measuredangle b}{2x+75}~~=~~90\implies 3x=15\implies x=\cfrac{15}{3}\implies \boxed{x=5} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\measuredangle a}{5}~\hspace{7em}\stackrel{\measuredangle b}{2(5)+75}\implies 85`