Question

pls show this step by step

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Answer 1

Given :-

• From the following figure, find

       (i) x

       (ii) ∠A and ∠D

Solution :-

• First of all, the figure ABCD is a parallelogram

• One of the property of parallelogram is that, the adjacent angles are supplementary. We can make use of that property here
• ∠A and ∠D are adjacent. So, they are supplementary.

     ⇒ ∠A + ∠D = 180°

    ⇒ x - 7 + 2x - 7 = 180°

    ⇒ 3x - 14 = 180°

    ⇒ 3x = 194

    ⇒ x = $\sf\frac{194}{3}$

• Now, ∠D = 2x - 7 = 2($\sf\frac{194}{3}$) - 7 = $\sf\frac{388}{3} -7 = \frac{367}{3}$  = 122.33°

• ∠A = 180° - ∠D = 180° - 122.33° = 57.77°

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Thank you, please mark as brainliest!

→Sathvik :)