Question

the adjecent angles of a parallogram are(3x-13)°and (52+2x)°. find the angles of parallelogram......with solution
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Answer 1

Answer:

71.6°, 108.4°

Step-by-step explanation:

We know that the sum of adjacent angles of a parallelogram is 180°

Hence (3x - 13)° + (52 + 2x)° = 180°

⇒ (3x + 2x) + (52 - 13) = 180°

⇒ (5x + 39)° = 180°

⇒ 5x = 141°

⇒ x = (141/5)°

We know the angles are (3x - 13)°, (52 + 2x)°

Hence the angles are ((3*141/5) - 13) , (52 + (2*141/5))

= (358/5)°, (542/5)°

= 71.6° , 108.4°

Hence the angles are  71.6°, 108.4°

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Answer 2

Step-by-step explanation:

Sum of all angles of ||gm is 180°

ATQ

(3x-13)° + (52 +2x)° = 180°

(3x + 2x -13 + 52)° = 180°

(5x+39)° = 180°

5x = (180-39)°

x = 141/5°