Question

find x and y
some kne told its not clear
is it clear now frnd
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Answer 1

Given:-

• AB = AC & DE || BC

• $\sf{\angle{ADE} = (x + y - 36)^{\circ}}$, $\sf{\angle{DBC} = 2x}$ & $\sf{\angle{ECB} = (y - 2)^{\circ}}$.

To Find:-

• The Value of x and y

Concept used:-

• Corresponding angle - When two lines are Parallel and intersected by transversal then Corresponding angles are equal.

Now,

if AB = AC

then,

→ $\sf{\angle{ABC} = \angle{ACE}}$

→ $\sf{ 2x = y - 2}$

→ $\sf{ 2x - y = -2}$.......1

Now,

→ $\sf{\angle{ADE} = \angle{DBC}}$ ( Corresponding angle )

→ $\sf{ x + y - 36 = 2x}$

→ $\sf{ x - 2x + y - 36}$

→ $\sf{ -x + y = 36}$.......2

Adding eq 1 and 2

→ $\sf{ 2x - y +(- x + y) = 36 + -(2)}$

→ $\sf { 2x - y - x + y = 34}$

→ $\sf { x = 34}$

Now, Putting the Value of x in eq. 2

→ $\sf { -x + y = 36}$

→ $\sf{ -34 + y = 36}$

→ $\sf{ y = 36 + 34}$

→ $\sf{ y = 70}$

The Value of x and y is 34° and 70° respectively.

Answer 2

Answer

x = 34

y = 70

........