Question

An architect designs two similar triangular patios. The first patio has angle measures of (x + 5)°, (y + 15)°, and 80°. The second patio has angle measures of (x + 25)°, 40°, and 60°. Find the values of x and y. please answer fast! i just need this one!

Answer 1

x = 55° and y = 25°

Explanation:

Since we have two triangular patios with angles (x + 5)°, (y + 15)°, and 80° and the second patio has angles, (x + 25)°, 40°, and 60° respectively, and the sum of angles in a triangle is 180, we have that,

(x + 5)° + (y + 15)° + 80° = 180° and

(x + 25)° + 40° + 60° = 180°

Simplifying both expressions, we have

x + 5° + y + 15° + 80° = 180° and

x + 25° + 40° + 60° = 180°

collecting like terms, we have

x + y + 5° + 15° + 80° = 180° and

x + 25° + 40° + 60° = 180°

Adding the like terms, we have

x + y + 100° = 180° and

x + 125° = 180°

So,

x + y = 180° - 100° and

x = 180° - 125°

Thus,

x + y = 80° and

x = 55°

So, y = 80° - x = 80° - 55° = 25°

So, x = 55° and y = 25°