Question

"_" 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?​

Answer 1

SOLUTiON

GiVEN

• 1st angle = 130°

• Let the 2nd and 3rd angles be x & x respectively.

(Sum of three angles of a Δ sum is 180° )

Now,

130° + x + x = 180°

=> 130° + 2x = 180°

=> 2x = (180-130)°

=> 2x = 50°

=> x = (50/2)°

=> x = 25°

• Both the angles measure 25° each.

Hence, Sum of the measures of the other angles

= (25+25)°

= 50°

Answer 2

Answer:

Solution :

1st angle = 130°

Let the 2nd and 3rd angles be x and x respectively.

( We know that all the three angles of a ∆ sum upto 180° in total )

Now,

130° + x + x = 180°

= 130° + 2x = 180°

= 2x = (180 - 130)°

= 2x = 50°

= x =(50/2)°

= x = 25°

Therefore, Both the angles measure 25° each.

Hence, sum of the measures of the other angles.

= ( 25 + 25) °

= 50°.

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