"_" 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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- 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°
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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°
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