asked 136k views
0 votes
two angles are supplementary. one angle measures 12 degrees more than the other. find the measures of the angle

asked
User Hoefling
by
8.2k points

2 Answers

4 votes

Answer: 84 degrees and 96 degrees

Explanation:

x + x + 12 = 180

2x = 168

x= 84

The first angle is 84 degrees. The second angle is 96 degrees due to 84 being added by 12. 84 + 96 = 180 degrees.

answered
User Reflective
by
7.8k points
2 votes

Answer: 84 degrees and 96 degrees!

Step-by-step explanation:

Supplementary angles add up to 180 degrees. Therefore, we can set up the following equation:

x + (x + 12) = 180

Simplifying this equation, we combine like terms:

2x + 12 = 180

Next, we isolate the variable by subtracting 12 from both sides of the equation:

2x = 180 - 12

2x = 168

Finally, we solve for x by dividing both sides of the equation by 2:

x = 168 / 2

x = 84

So, one angle measures 84 degrees, and since the other angle is 12 degrees more, it measures:

84 + 12 = 96 degrees.

Therefore, the measures of the two angles are 84 degrees and 96 degrees.

answered
User Virtua Creative
by
7.2k points

No related questions found

Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.