Question

Two angles are supplementary. The first angle is 3x degrees. The second angle is (2x+25) degrees. Determine the measure of the smaller angle.

Answer 1

a = 3x
b = 2x+25
180 = a + b
180 = 3x + 2x + 25
180 = 5x + 25
155 = 5x
x = 31

a = 3*31 = 93
b = 2*31 + 25 = 87

Answer 2

The measure of smaller angle is 87 degrees.

Explanation:

Consider the provided information.

The provided angles are 3x degree and 2x + 25 degree.

Two angles are said to be Supplementary angles if their sum is 180 degree.

It is given that the provided angle are supplementary angles, thus

3x + 2x + 25 = 180

5x + 25 = 180

5x = 180 - 25

5x = 155

x = 31

Now, substitute the value of x in first angle i.e 3x.

3(31) = 93

Substitute the value of x in the second angle i.e 2x + 25

2(31) + 25 = 62 + 25 = 87

Hence, the measure of smaller angle is 87 degrees.