Question

6. The measures of two angles are (4x + 19) and (7x -29)°. What is the value of x if

these angles are congruent?

Answer 1

The value of x is 16

Explanation:

Given two angles are:

(4x + 19) and (7x -29)°

Two angles being congruent means that their numerical values will be equal

Putting both expressions equal

`4x+19 = 7x-29`

Subtracting 7x from both sides

`4x+19-7x = 7x-29-7x\\-3x+19 = -29`

subtracting 19 from both sides

`-3x+19-19 = -29-19\\-3x = -48`

Dividing both sides by -3

`(-3x)/(-3) = (-48)/(-3)\\x = 16`

Hence,

The value of x is 16