Two angles are complementary. the measure of the larger angle is 10 more than 4 times the measure of the small angle. find the measures of both angles.

Step-by-step explanation:

Let the measurement of the smaller angle = x

Larger angle = 4x + 10

x + (4x + 10) = 90    {complementry}

5x  + 10  = 90

        5x = 90 -10

         5x = 80

            x = 80/5

            x = 16

Smaller angle = 16

Larger angle = 4*16 + 10 = 64+10 = 74

Step-by-step explanation:

If two angles are complementary to each other, then their sum is 90 degrees.

So we have: .

Let's say is the larger of the two.

We have that is 10 more than 4 times the measure of .

An equation this is: .

So I'm going to plug second equation into first equation:

with :

Combine like terms:

Subtract 10 on both sides:

Divide both sides by 5:

Simplify:

Now to find :

with :

ryan had a head start of 10 meters.

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