Angles y and c are complementary angles. The measure of y is (5x+2),and the measure of c is (x+10),what is the value of y and c help?

y & c are complementary

=>

5x+2*+x+10*=90*

=>

6x=90*-12*

=>

x=13*

=>

y=5(13*)+2*=67*

c=13*+10*=23*

Complementary means that the angles add up to 90 degrees.

6x + 12 = 90

x = 13

c is (x + 10) = 23°

y is (5x + 2) = 67°

complimentry=90

5x+2+x+10=90

6x=78, x=13

y=67 c=23

 Angles y and c are complementary angles. 

 The measure of y is (5x + 2), and 

 the measure of c is (x + 10).

 6x + 12 = 90°, x = 13

 The value of y = 67° and 

 the value of c = 23°

Remember the definition of complementary (and supplementary) angles.

Complementary angles (think 'C' = corner = 90°) add up to 90°

Supplementary angles (think 'S' = straight = 180°) add up to 180°

So first add up the angles and solve for x:

5x+2 + x+10 = 90

6x + 12 = 90

6x = 90 - 12

6x = 78

x = 78/6

x = 13

Now figure out the two angles:

∠y = 5x + 2 --> 5(13) + 2 = 67°

∠c = x + 10 --> 13 + 10 = 23°

Double-check that those two angles do indeed add up to 90°.