Question

Angle K and angle L are complementary angles if angle K equals 3X +3 and angle L equals 10 X -4 find the measures of angles

Answer 1

The measure of both angles are 24 and 66 degrees

Complementary angles

The sum of two complementary angles is 90 degrees.

If two angles are complementary, then;

m<K + m<L = 90

where x and y are the angles

Given the following parameters

<K = 3x + 3

<L =10x - 4

Substitute the given parameters into the formula

3x + 3 + 10x - 4 = 90

Collect the like terms

3x+10x - 1 = 90

13x = 90 + 1

13x = 91

Divide both sides by 13

13x/13 = 91/13

x = 7

For the angles

<K = 3x + 3

<K = 3(7) + 3

<K = 24 degrees

Similarly;

<L = 90 - <K

<L = 90 - 24

<L = 66 degrees

Hence the measure of both angles are 24 and 66 degrees

Learn more on complementary angles here: brainly.com/question/16281260

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