Question

It is a fact that Ouadrilateral DEAC is similar to Quadrilateral ORGN. Also, mLD = 115° MLC = (y -10x)°. ", MLE = (6x 10y)° mL0 = (7y -3x)°, mLN = 93° , and mLG = (x 6y)°

The value of x is


.

The value of y is


.

The measure of Angle R is


degrees.

The measure of Angle A is


degrees

Answer 1

To find the values of x and y in quadrilateral DEAC, we need to use the given angles and solve the equations representing the angles in both quadrilaterals. Using the fact that the quadrilaterals are similar, we can set up and solve a system of equations.

Step-by-step explanation:

To find the value of x and y, we need to use the given information and solve the equations. We have the following equations representing the angles in quadrilateral DEAC:

mLD = 115°

MLC = (y - 10x)°

MLE = (6x + 10y)°

mL0 = (7y - 3x)°

mLN = 93°

mLG = (x + 6y)°

We also know that quadrilateral DEAC is similar to quadrilateral ORGN. Since corresponding angles are equal in similar figures, we can set up the following equations:

115° = Angle D in quadrilateral ORGN

(y - 10x)° = Angle C in quadrilateral ORGN

(6x + 10y)° = Angle E in quadrilateral ORGN

(7y - 3x)° = Angle O in quadrilateral ORGN

93° = Angle N in quadrilateral ORGN

(x + 6y)° = Angle G in quadrilateral ORGN

Now, we can solve these equations simultaneously to find the values of x and y.