Question

Is an architect designs two similar triangular patios. The first patio has angle measures of (x - 15)°, (y + 5)°, and 5°. The second patio has angle measures of (x + 20°), 40°, and 65°. Find the values of x and y.

a) x = 40°, y = 10°
b) x = 35°, y = 15°
c) x = 25°, y = 20°
d) x = 30°, y = 15°

Answer 1

To find the values of x and y in the given triangular patios, equate the corresponding angle measures and solve the resulting equations. Therefore, the values of x and y are 35°.

Step-by-step explanation:

To find the values of x and y, we can equate the corresponding angle measures of the two triangular patios. From the given information, we have:

(x - 15)° = (x + 20°)

(y + 5)° = 40°

5° = 65°

Simplifying the equations, we find that:

x - 15 = x + 20

y + 5 = 40

5 = 65

Solving these equations, we get:

x = 35°

y = 35°

Therefore, the values of x and y are 35°.