Find the measures of the angles.
a. m∠x
b. m∠y
a. m∠x = 50°
m∠y = 135°
b. m∠x = 125°
m∠y = 50°
c. m∠x = 50°
m∠y = 125°
d. m∠x = 135°
m∠y = 50°

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.