Question

Given a right triangle find the measure of all the angles of one angle is a right angle in the measure of the second angle is six less than seven times the measure of the third angle

Answer 1

Answer:

12° ,  78° , 90°

Step-by-step explanation:

Let x be the third angle.

Second angle = 7x  - 6

x + 7x-6 + 90 = 180   { sum of angles of triangle = 180}

          8x + 84 = 180

                  8x = 180 - 84

                  8x = 96

                     x = 96/8

                     x = 12

Second angle = 7x  - 6 = 7*12 - 6 = 84 - 6 = 78

Answer 2

Answer:

12°, 78°, 90°

Step-by-step explanation:

let the third angle be x then the second angle is 7x - 6

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

x + 7x - 6 + 90 = 180, that is

8x + 84 = 180 ( subtract 84 from both sides )

8x = 96 ( divide both sides by 8 )

x = 12

Thus second angle = 12° and third = 7(12) - 6 = 84 - 6 = 78°

The 3 angles are 12°, 78° and 90°