Question

Please answer.........​

Answer 1

Answer:

x=125

y=55

z=125

Step-by-step explanation:

AB // CD

therefore ABCD IS A TRAPAZIUM

angle ABC = angle CDE ........corresponding angle

therefore z=125

ADC+CDE = 180 ....linear pair

therefore ADC =55

ADC+ABC=180.......(opposite angles of trapazium are supplementary)

therefore x=125

BAD+BCD=180 .........(opposite angles of trapazium are supplementary)

therefore y=55

Answer 2

★ Answer :

• x = 55°
• y = 125°
• z = 125°

Step-by-step explanation :

Given that,

AB || CD and AD is produced to E,

∠ BAE = 125°, ∠ ABC = x° , ∠ BCD = y° , ∠ CDE = z° , ∠ ADC = x°

★ Solution :

First let's find the value of z°

» ∠ BAE = z° = 125° ..... corresponding angle

The value of y°

» ∠ BAE = y° = 125° .... alternate interior angle

Now, the value of x

At first we need to find out the measure of ∠ ADC

» ∠ADC + z° = 180°

» ∠ADC + 125 = 180

» ∠ADC = 180 - 125

» ∠ADC = 55°

Therefore,

∠ADC = x° = 55° ...... interior opposite angle