Question

The sum of two angles of quadrilateral PQRS is 130° and other two angles are equal . What are the measures of the sum of other angles?​

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Answer 1

Answer:

ATQ

2x+130=360(angle sum propety of a quad)

2x=230

x=115°

Answer 2

Given:

The sum of two angles of quadrilateral PQRS = 130°

The other two angles of quadrilateral PQRS are equal.

To find:

The sum of the other two angles of quadrilateral PQRS.

Solution:

Let us take four angles of quadrilateral PQRS as W, X, Y, and Z.

Since the sum of four angles of a quadrilateral = 360°

Therefore, W + X + Y + Z = 360°

Now, let us assume the angles whose sum is given as W and X.

⇒ W + X = 130°

Let us take the angles with same measure as Y and Z.

⇒ Y = Z

As, W + X + Y + Z = 360°

130° + 2 Y = 360°

2 Y = 360° - 130°

2 Y = 230

Y = 115°

⇒ Y = Z = 115°

The sum of Y and Z = 115° + 115° = 230°