Question

Find the value of x
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Answer 1

Answer:

2y - 5 + 3y = 180

5y - 5 = 180

5y = 185

Y = 185 / 5

= 37

3y = 37 * 3 = 111

2y - 5 = 37 * 2 - 5 = 69

3y = 3x + 3

3x + 3 = 111

( x = 36)

Step-by-step explanation:

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Answer 2

$\large\mathfrak{\pmb{{\underline{Given}}:}}$

• ABCD is a parallelogram.

$\large\mathfrak{\pmb{{\underline{To~find}}:}}$

• The values of x and y in the given figure.

$\large\mathfrak{\pmb{{\underline{Solution}}:}}$

• We know that, adjacent angles of a parallelogram are supplementary

$\sf\implies{∠DAB+∠CBA=180^{\circ}}$

$\sf\implies{(3y)^{\circ}+(2y-5)^{\circ}=180^{\circ}}$

$\sf\implies{3y+2y-5=180}$

$\sf\implies{5y=180+5}$

$\sf\implies{5y=185}$

$\sf\implies{y={\dfrac{185}{5}}}$

$\sf\implies{y={\purple{\underline{\boxed{\sf{\pmb{~37~}}}}}}}$

• We also know that, opposite angles of a parallelogram are equal

$\sf\implies{(3x+3)^{\circ}=(3y)^{\circ}}$

$\sf\implies{3x+3=3(37)}$

$\sf\implies{3x+3=111}$

$\sf\implies{3x=111-3}$

$\sf\implies{3x=108}$

$\sf\implies{x={\dfrac{108}{3}}}$

$\sf\implies{x={\purple{\underline{\boxed{\sf{\pmb{~36~}}}}}}}$

$\large\mathfrak{\therefore{\pmb{{\underline{Required~answer}}:}}}$

• $\sf{x={\purple{\underline{\underline{\sf{\pmb{~36~}}}}}}}$
• $\sf{y={\purple{\underline{\underline{\sf{\pmb{~37~}}}}}}}$