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

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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)   (Show Source): You can put this solution on YOUR website!

- 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

Measure of ∡ABC:
Measure of ∡CBD:
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