Question 715391
USING ALGEBRA:
Let's call the measures of the angles (in degrees) {{{A}}} , {{{B}}} and {{{C}}}
We know that the measures of the angles of a triangle add up to {{{180^o}}} so
{{{highlight(A+B+C=180)}}}
We translate "angle A is 5 times angle B" as
{{{A=5*B}}} (or {{{highlight(A=5B)}}} leaving out the optional middle dot symbol for multiplication).
We translate "angle C is 16 degrees less than angle B" as
{{{highlight(C=B-16)}}}
Now we put together all we know.
The sum of the three angles will be
{{{(5B)+B+(B-16)=180}}} (I put the expressions for {{{A}}} and {{{C}}} in in parentheses, but those parentheses are not needed).
{{{5B+B+B-16=180}}} --> {{{7B-16=180}}} --> {{{7B-16+16=180+16}}} --> {{{7B=196}}} --> {{{7B/7=196/7}}} --> {{{highlight(B=28)}}}