Question

M∠LONm es un ángulo llano.
m∠LOM=9x−91°
m∠MON=6x+76°

Encuentra m∠MON

Answer 1

Answer: 6(x)+76 = 6(13)+76 = 154 degrees. They are supplementary angle, which are equal to 180 degrees.

Explanation:

9x - 91 + 6x + 76 = 180

15x - 15 = 180

15x = 195

x = 13

Answer 2

The measure of the angle ∠MON is 154°

Let's find the measure of the angle.

We know that m∠LON is a plane angle, then we can write the equation:

m∠LOM + m∠MON = m∠LON = 180°

Replacing the expressions for the angles:

9x - 91 + 6x + 76 = 180

Solve this for x:

15x - 15= 180

15x = 180 + 15

15x = 195

x = 195/15

x = 13

Then the measure of m∠MON is:

m∠MON = (6x + 76)° = (6*13 + 76)° = 154°