Mathematics
In a parallelogram ABCD; ∠A = (3x + 2)° and ∠D = (2x + 3)°; the value of x is :
37
35
30
40
Quadrilaterals
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Answer
According to the properties of parallelogram, consecutive angles of a parallelogram are supplementary.
⇒ ∠ A + ∠ D = 180°
⇒ (3x + 2)° + (2x + 3)° = 180°
⇒ 3x° + 2° + 2x° + 3° = 180°
⇒ 5x° + 5° = 180°
⇒ 5x° = 180° - 5°
⇒ 5x° = 175°
⇒ x° =
⇒ x° = 35°
Hence, option 2 is the correct option.
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Statement 1: In order to prove that a given parallelogram is a rectangle, we must prove that (a) any angle of it is 90° or (b) its diagonal are equal.
Statement 2: A kite is an arrowhead in which two pairs of adjacent sides are equal.
Which of the following options is correct?
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.