Find the measures of the angles.

m < 1 = 64°

m < 2 = 26°

Step-by-step explanation:

Given that m < 1 and m < 2 are complementary angles whose sum add up to 90°, and that:

m < 1 = (x + 51)° and m < 2 = 2x°,

We can write the following equation to solve for the measurements of angles 1 and 2:

m < 1 + m < 2 = 90°

Substitute m < 1 and m < 2 into the equation:

(x + 51)° + 2x° = 90°

3x° + 51° = 90°

Subtract 51° on both sides of the equation:

3x° + 51° - 51° = 90° - 51°

3x° = 39°

Divide both sides by 3:

x = 13°

Substite x = 13° into m < 1 and m < 2 to find their measurements:

m < 1 = (x + 51)°  = 13° + 51° = 64°

m < 2 = 2x° = 2(13)° = 26°

To check the validity of the answers, we can substitute m < 1 = 64° and m < 2 = 26° into the original equation to see if their measurements add up to 90°:

m < 1 + m < 2 = 90°

64° + 26° = 90°

Therefore, the derived answers are correct.

Both angles are complementary

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.