Question

Please just give me a short form answer and not to long
Two supplemental angles have measures of 2x and 3x. What is the value of x and the angle measures?

Answer 1

Answers:

• x = 36
• angles are 72° and 108°

Explanation

Supplementary angles add to a straight line of 180 degrees.

2x+3x = 180 solves to x = 36. I'll leave the scratch work for the student to do.

If x = 36 then 2x = 2*36 = 72 and 3x = 3*36 = 108 are the two angles.

Note how 72+108 = 180 to help confirm we have the correct value of x, and the correct angle measures.

Answer 2

Answer: x = 36,  m∠2x = 72°, m∠3x = 108°

Step-by-step explanation:

Supplementary angles are equal to 180 degrees when added together. We can use this information to create and solve an equation for x.

    2x + 3x = 180

    5x = 180

    x = 36

Next, we can substitute this into the expressions for each angle to find the two angle measures.

    m∠2x = 2(36) = 72°

    m∠3x = 3(36) = 108°