Question

For triangle xyz, m∠x = 38°, m∠y = (5x - 11)°, and m∠z = (4x - 45)°. Find the measure of angle y.

1) 22°
2) 43°
3) 99°
4) 158°

Answer 1

38 + 5x - 11 + 4x - 45 = 180

9x - 18 = 180

9x = 198

x = 22

Angle y measures 5(22) - 11 = 110 - 11 = 99°.

Choice #3 is correct.

Answer 2

To find the measure of angle y, substitute the value of x into the equation for m∠y. The measure of angle y is 187°.

Step-by-step explanation:

To find the measure of angle y, we need to set up an equation using the given information. We have m∠y = (5x - 11)°. Since we know that m∠x = 38°, we can substitute x = 38 into the equation for m∠y: m∠y = (5(38) - 11)°. Simplifying this equation gives us m∠y = 187°. Therefore, the measure of angle y is 187°.