angle K and angle L are complementary angels. If the measurement of angle K =(3x+3) and the measurement of angle L =(10x-4).what

Question

4 years ago

5

is the measure of each angle

1 answer:

spayn [35] · Answer 1 · 2021-12-13T20:47:11+03:00

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,

$K+L = 90\\3x+3 + 10x-4 = 90\\13x -1 = 90\\13x-1+1 = 90+1\\13x = 91$

Dividing both sides by 13

$\frac{13x}{13} = \frac{91}{13}\\x = 7$

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

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