Question

If 2X degree and 3X degree are adjacent angles in a linear pair, find them.

a) 72 and 108
b) 172 and 8
c) 90 and 90
d) 150 and 30

Answer 1

The measures of the angles are 72 degrees and 108 degrees.

Step-by-step explanation:

In a linear pair of angles, the sum of the measures of the angles is 180 degrees. So, if 2X degrees and 3X degrees are adjacent angles in a linear pair, we can set up the equation:

2X + 3X = 180

Adding the like terms:

5X = 180

Dividing both sides by 5:

X = 36

Now we can substitute X back into the equation to find the measures of the angles:

2X = 2(36) = 72 degrees

3X = 3(36) = 108 degrees

Therefore, the measures of the angles are 72 degrees and 108 degrees.