In triangle abc, the measure of angle x is eight times the sum of the measures of angles y and z. the measure of angle y is three times the measure of angle z. what are the measures of the angles?
x=
y=
z=

Step-by-step explanation:

We know that the sum of the angles in a triangle is equal to 180, so we can set up the following equation:

From the problem statement, we can also set up the following two equations:

Substituting the last equation into the second, we get the following:

Substituting the last two equations into the first, we get the following:

We can then plug this number into the previous equations:

and

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.