Question

M∠wyx=(4x−8)° and m∠wyz=10x°. If ∠wyx and ∠wyz are complementary, what is the measure of each angle?

a) m∠wyx = 70°; m∠wyz = 110°
b) m∠wyx = 30°; m∠wyz = 60°
c) m∠wyx = 20°; m∠wyz = 160°
d) m∠wyx = 20°; m∠wyz = 70°

Answer 1

To find the measure of each angle, we can set up an equation and solve for x. Then we can substitute the value of x into the angle measures to find their values.

Step-by-step explanation:

To find the measure of each angle, we know that complementary angles add up to 90 degrees. So we can set up the equation (4x-8) + 10x = 90. We can simplify and solve for x:

14x-8 = 90

14x = 98

x = 7

Now we can substitute the value of x back into the two angle measures:

m∠wyx = (4x-8)° = (4(7)-8)° = 20°

m∠wyz = 10x° = 10(7)° = 70°

Therefore, the measure of angle wyx is 20° and the measure of angle wyz is 70°.