Question

sum of the angle measures of a triangle is 180° suppose that one angle in a triangle has a degree measure of 4X -3 and another has a degree measure of 6X -6 write an expression for the degree measure of the third angle in the triangle

Answer 1

Total sum of angles of a triangle is equal to 180 degrees.

First angle = 4x-3 degrees.

Second angle = 6x-6 degrees.

Let the third angle be represented by
`\beta`

`4x-3 + 6x-6 +\beta =180`

Add all the terms with x together and all the constants together.

`(4x+6x) + ( -3 -6 ) + \beta  = 180`

`10x -9 +\beta = 180`

`\beta = 180 - 10x+ 9`

Third angle
`\beta = 189 -10x` .... Answer