please answer this I need it

Question

Find the measure of each angle. <UVW and <XYZ are complementary angles, m<UVW=(x-10)degrees, m<XYZ=(4x-10)degrees

m<UVW=

m<XYZ=

Answer 1

Complementary angles add to 90 degrees. So you can set up an equation.

Angle 1 + Angle 2 = 90 Substitute in what is given

(x-10)+(4x-10) = 90 Combine like terms

5x-20 = 90 Add 20 to both sides

5x=110 Divide both by 5

x=22

Now you can plug x in to find the measures of both angles

m<UVW=(22-10)degrees = 12

m<XYZ=(4(22)-10)degrees = 78

Answer 2

The measure of complementary angles sums to 90

m<UVW + m<XYZ = 90

substitute the expressions given for the measures of those angles:

x - 10 + 4x - 10 = 90

5x - 20 = 90

5x = 110

x = 22

m<UVW = x - 10 = 22 - 10 = 12

m<XYZ = 4x - 10 = 4(22) - 10 = 78