Question

If two adjacent angles of a parallelogram are 2x+3 and 7x-93 then find the angles of its

Answer 1

By rule,

Adjacent angles of parallelogram are 180°

In other words, their sum (+) is 180, ALWAYS

SO,

(2x + 3) + (7x-93) = 180

2x + 3 + 7x -93 = 180

2x + 7x + 3 - 93 = 180

9x - 90 = 180

9x = 180 + 90 ( sign change when sides change)

9x = 270

$x = \frac{270}{9}$

x = 30°

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Hence, first angle is

= 2x + 3

= 2(30) + 3

= 60 + 3

= 63°

Hence, second angle is

= 7x - 93

= 7(30) - 93

= 210 - 93

= 117°

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Therefore the two angles are 63° and 117°

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Verification :

63° + 117°= 180°

180° = 180°