The measurement of two angles is 24° and 66°
Step-by-step explanation:
First of all, let us define complementary angles
The angles whose sum is 90° are called complementary angles
Given
∠K = (3x+3)
∠L = (10x-4)
According to the definition,
[tex]K+L = 90\\3x+3 + 10x-4 = 90\\13x -1 = 90\\13x-1+1 = 90+1\\13x = 91[/tex]
Dividing both sides by 13
[tex]\frac{13x}{13} = \frac{91}{13}\\x = 7[/tex]
So,
∠K = 3x + 3 = 3(7) + 3 = 21+3 = 24°
∠L = 10x - 4 = 10(7) -4 =70 -4 = 66°
Hence,
The measurement of two angles is 24° and 66°
Keywords: Complementary angles, Angles
Learn more about complementary angles at:
- brainly.com/question/5756316
- brainly.com/question/5751004
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