Find the measures of each angle.

Question

 When angles are complementary, the sum of their measures is 90 degrees.Two complementary angles have measures of 2x-10 degre and 3x-10 degrees.Find the measu of each angle.

Answer 1

Let Angle 1 = A1

Let Angle 2 = A2

 

Angle 1 and Angle 2 are complementary, therefore

A1 + A2 = 90.

 

A1 = 2x-10

A2 = 3x-10

 

A1 + A2 = 90

(2x-10)+(3x-10)=90

5x - 20 = 90

5x = 110

x = 22

 

A1 = 2x-10 = 2(22)-10 = 44-10 = 34 deg

A2 = 3x-10 = 3(22)-11 = 66-10 = 56 deg

Answer 2

(2x-10) + (3x-10) = 90 according to the definition of complementary angles and their given measurement expressions.

Solve for x, then calculate each angle's measurement expression using that value of x.