Question

in the given figure find the value of x+y.​

Answer 1

Answer:

The answer is x = 100°

y = 40⁰

Step-by-step explanation:

As AB = AC

angle ABC = y = 40⁰ (angles oposite to equal sides are equal)

In triangle ABC ,

x + y + 40 = 180 ( angle sum property)

x + 40 + 40 = 180

x + 80 = 180

x = 180 - 80

x = 100⁰

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Answer 2

Answer:

• x + y is 230°.

Step-by-step explanation:

By Vertically opposite angle :

• ∠1 = 40°

We know,

Sum of any two interior angles of triangle is equal to the opposite exterior angle.

So,

For x :

$\leadsto$ x = 80° + 40°

$\leadsto$ x = 120°

Value of x is 120°.

Similarly,

For y :

$\leadsto$ y = ∠1 + 70°

$\leadsto$ y = 40° + 70°

$\leadsto$ y = 110°

Value of y is 110°.

Now,

$\leadsto$ x + y

$\leadsto$ 120° + 110°

$\leadsto$ 230°

∴ x + y is 230°.