Problema Solution
Given a right triangle, find the measures of all of the angles if one angle is a right angle and the measure of the second angle is six less than seven times the measure of the third angle
Answer provided by our tutors
let
90 degrees (right angle) = the measure of the first angle
x = the measure of the second angle
y = the measure of the third angle
x + y = 90
the measure of the second angle is six less than seven times the measure of the third angle:
x = 7y - 6
by solving the system of equations:
x + y = 90
x = 7y - 6
we find:
x = 78 degrees
y = 12 degrees
click here to see the step by step solution of the system of equations:
the measure of the angles of the right triangle are: 90 degrees, 78 degrees and 12 degrees.