Question

find the value of x x and y​

Answer 1

Answer:

∠y+130°=180° (by angle sum property)

∠y=180°-130°

∠y=50°

∠A+∠B+∠y=180°

∠A+∠B+50°=180°

x+x+50°=180°

2x+50°=180°

2x=180°-50°

2x=130°

x=130°/2

x=65°

∠A=∠B=65°

Answer 2

$\LARGE{\underline{\orange{\sf{Answer}}}}$

x = 65°

y = 50°

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$\LARGE{\underline{\orange{\sf{Explanation}}}}$

Given:

Find the value of x , x and y in the given figure

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Let's find y !

Angle A + Angle B = 180°

(linear pair)

.

So, y + 130° = 180°

y = 180° – 130°

y = 50°

.

now let's find the value of x!

x + x + y = 180°

(Angle sum property)

2x + 50° = 180°

2x = 180 – 50°

$x \:\:=\:\:\frac{130}{2}$

$x\:\:=\:\:65$

Therefore the value of x = 65°

.

Let's verify!

x + x + y = 180°

(sum of all angles and a triangle is equal to 180°)

65° + 65° + 50°

= 180°

LHS = RHS = 180°

Hence, verified

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Final answer :

x = 65°

y = 50°