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

${\sf{{\red{Solution:}}}}$

1st angle = 130°

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

(We know that all the three angles of a Δ 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°

Answer 2

$\large \green{ \fcolorbox{gray}{black}{ ☑ \: \textbf{Verified \: answer}}}$

Sum of the measures of the other angles = 50°