SOLUTION: - Find the measure of each angle angle ABC and angle CBD are complementary angles, m angle ABC=(3x+6)degrees, and m angle CBD=(4x-14)degrees stuck on this problem, Thank you fo

Algebra ->  Angles -> SOLUTION: - Find the measure of each angle angle ABC and angle CBD are complementary angles, m angle ABC=(3x+6)degrees, and m angle CBD=(4x-14)degrees stuck on this problem, Thank you fo      Log On


   



Question 1096624: - Find the measure of each angle
angle ABC and angle CBD are complementary angles, m angle ABC=(3x+6)degrees, and m angle CBD=(4x-14)degrees
stuck on this problem, Thank you for any help!

Answer by MathTherapy(10552) About Me  (Show Source):
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- Find the measure of each angle
angle ABC and angle CBD are complementary angles, m angle ABC=(3x+6)degrees, and m angle CBD=(4x-14)degrees
stuck on this problem, Thank you for any help!
The angles are COMPLEMENTARY, which means that they SUM to 90o
Therefore, we get: ∡ABC + ∡CBD = 90o
3x + 6 + 4x - 14 = 90 ------ Substituting 3x + 6 and 4x - 14 for ∡s ABC and CBD
7x = 98
matrix%281%2C5%2C+x%2C+%22=%22%2C+98%2F7%2C+%22=%22%2C+14%5Eo%29
Measure of ∡ABC:
Measure of ∡CBD: