Question

Find the unknowns in the following figure ​

Answer 1

Step-by-step explanation:

we take y is x because both are equal[given]

x+x+50=180°[ angle sum property]

2x+50=180°

2x=180-50

2x=130

x=130/2

x=65°

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Answer 2

Answer:

The missing angles, 'x' and 'y' are both found to be as 65°.

Step-by-step explanation:

Angle Sum property of Triangle:

A triangle is the smallest polygon with 3 sides and 3 interior angles.

The sum  of triangle angles property shows that the sum of the interior angles of a triangle is 180°.

Calculation of missing angles:

We know that if a short line is marked on two sides of a triangle, they are assumed to be equal to each other.

Also, we know that the angles opposite to a pair of equal sides are also equal to one another. This property given us as 'x' is equal to 'y', i.e.:

x = y                               ...(1)

Now, by the angle sum property of the triangle, we know that the sum of all the angles will be 180°.

Substituting the values, we get:

x + y + 50° = 180°

Using (1), we get:

2x + 50° = 180°

Separating the variables, we get:

2x = 130°

Dividing both sides by 2, we get:

x = 65°

By (1), we get:

y = 65°

Thus, both the angles are found to be 65°.

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