If ∡JML =100°

, then determine the value of x. JMK at (3x+30) and the other KML is (2x)

3 answers

To determine the value of x, we need to use the fact that the sum of the angle measures in a triangle is 180 degrees.

Since ∡JML = 100°, we can set up the following equation:

∠JMK + ∠KML + ∠JML = 180°

Plugging in the given values, we have:

(3x + 30) + (2x) + 100 = 180

Combining like terms, we get:

5x + 130 = 180

Subtracting 130 from both sides, we have:

5x = 50

Dividing both sides by 5, we get:

x = 10

Therefore, the value of x is 10.
If ∡JML =100° the whole angle, then determine the value of x. JMK at (3x+30) and the other KML is (2x)
Since ∡JML is the whole angle, we can use the fact that the sum of the angle measures in a triangle is 180 degrees.

We can set up the following equation:

∠JMK + ∠KML + ∠JML = 180°

Plugging in the given values:

(3x + 30) + (2x) + 100 = 180

Combining like terms and simplifying:

5x + 130 = 180

Subtracting 130 from both sides:

5x = 50

Dividing both sides by 5:

x = 10

Therefore, the value of x is 10.