# Find the values of x and y in the figure ​

Find the values of x and y in the figure ​

$Find the values of x and y in the figure ​$

## This Post Has 8 Comments

1. brendacauani12345 says:

$x=79^{\circ}\ and\ y=101^{\circ}$

Step-by-step explanation:

In the given picture, a parallelogram PQRS is given with angle 101°.

In a parallelogram opposite angles are equal.

Since, y is opposite to 101°.

Therefore y=101°

Also,  the sum of the adjacent angles of a parallelogram is 180°

$\\\Rightarrow\ x+101^{\circ}=180^{\circ}\\\Rightarrow\ x=180^{\circ}-101^{\circ}\\\Rightarrow\ x=79^{\circ}$

2. Pbaer4861 says:

x = 65, y = 115

Step-by-step explanation:

x and 2x - 15 are adjacent angles and supplementary, thus

2x - 15 + x = 180

3x - 15 = 180 ( add 15 to both sides )

3x = 195 ( divide both sides by 3 )

x = 65

y and 2x - 15 are congruent ( alternate angles ), thus

y = 2x - 15 = 2(65) - 15 = 130 - 15 = 115

3. ciel8809 says:

x=55 y=125

Step-by-step explanation:

X= 110/2=55

if BC is 110, BAC=250

so Y=250/2=125

180° = x + (2x -15)

180°=3x-15

3x = 195

x =65°

x + y = 180°

65+ y= 180°

y = 115°

5. Oregonduckerz says:

$\frac{5}{y} = \frac{5 + 3 }{y + x}$

$5(y + x) = y( 5 + 3)$

$5y + 5x = 8y$

$5x = 8y - 5y$

$5x = 3y$

$\frac{x}{y} = \frac{3}{5}$

$x = 3$

$y = 5$

6. ahhhhhhhh2806 says:

y=180-50+70

y=60

X=110 divided by 2=55 because x is half of the 110 . Since it’s quadratic inside the circle the opposite sides equals to 180 so 180-110=70 so Y =70

8. nany1982 says:

x = 160°

Step-by-step explanation:

Angles in a line add up to 180°

∴ 50° + y + 70° = 180°

y = 180° - (50° + 70°) = 60°