Question

The measure of angle A is twice that of angle B and one less than that of angle C. If the sum of the measures of the three angles is at least 66, what is the least possible measure of angle A? need the solution please. :)

Answer 1

A = 2B
A = C-1
2B = C - 1
C-2B = 1
A + B + C is at least 66.. hmm

Answer 2

then? :)

Answer 3

\[A+\frac{1}{2}A +A+1<66\]

Answer 4

solve for A via
\[\frac{5}{2}A+1<66\]
\[\frac{5}{2}A<65\]
\[A<\frac{2}{5}\times 65\]
\[A<26\]

Answer 5

sorry i couldnt find this again..

Answer 6

steps clear?

Answer 7

where did you get the 5 in 5/2?

Answer 8

@satellite. where did the 5 came from?

Answer 9

C=1-2x?

Answer 10

ok lets go slow

Answer 11

i want to write everything in terms of A

\[A=2B\] so
\[B=\frac{A}{2}\]
\[A=C-1\] so
\[A+1=C\]

Answer 12

add them up to get
\[A+\frac{1}{2}A+A+1<66\]

Answer 13

now i we combine like terms, i.e add
\[A+\frac{1}{2}A +A\]

Answer 14

our real job is to add
\[1+\frac{1}{2}+1=2+\frac{1}{2}=\frac{5}{2}\]

Answer 15

that is where the
\[\frac{5}{2}A\] came from, and why we write
\[\frac{5}{2}A+1<66\]
clear?