One of the adjacent angles is 24 degrees larger than the other. Find the degree measure of these angles.

Let x be an angle that is less than the angle by 24 °
Then x + 24 is an angle that is 24 ° greater than x
We get the equation:
The sum of adjacent angles is 180 °
Hence; x + x + 24 ° = 180 °;
2x = 180 ° -24 °;
2x = 156 °;
x = 156 °: 2;
x = 78 ° – angle that is less than the angle by 24 °
Find the angle x + 24 °;
78 ° + 24 ° = 102 °
Answer: 102 °; 78 °



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