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Help please!!

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

angle a= x°
angle b= (2x+75)°

User Coryj
by
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2 Answers

1 vote

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

User SeaJelly
by
8.6k points
2 votes

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

User Ashwintastic
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