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SSSSS [86.1K]
3 years ago
8

Help please!!

Mathematics
2 answers:
spin [16.1K]3 years ago
5 0

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

kumpel [21]3 years ago
3 0

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

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Step-by-step explanation:

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Statement {}                                       Reason          

\underset{BD}{\rightarrow} bisects ∠CBE {}                            Given

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