Question

Two qngles of a quadrilateral are equal and the other two angles are 52 degrees and 48 degrees find the other two equal angles​

Answer 1

The other two angles which are equal is 130°

Step-by-step explanation:

According to the question

According to the question the two angles are equal so let's take the angles as x + x = 2x and other two angles are 52 degrees and 48 degrees

___________________________

Let's take

A = x

B = x

C = 52°

D = 48°

We know that,

Sum of interior angles of a quadrilateral are 360°

A + B + C + D = 360°

x + x + 52 + 48 = 360°

2x + 100 = 360°

2x = 360 - 100

2x = 260

x = 260 / 2

x = 130

x = 130°

The other two angles which are equal is 130°

Answer 2

Given:

• Two angles are Equal
• Two angles are 52° and 48°
• Total Degree of Quadrilateral = 360°

To Find:

• Measures of other two angles?

Formula Used:

$\\ \bigstar{\underline{\boxed{\sf\pink{ Total \ Angles_{(Quadrilateral)} = 360° }}}}$

Solution:

Let the angle be x

Again, two angles be 2x.

$\implies$ 2x + 52 + 48 = 360

$\implies$ 2x + 100 = 360

After substituting 100 to opposite side;

$\implies$ 2x = 360 - 100

$\implies$ 2x = 260

$\implies$ x = 260/2

$\implies$ x = 130°

Hence,

Two angels of a Quadrilateral are 130° and 130°.