Question

If two lines are intersected by a transversal than interior angle on the same side of transverse are(2x+30) and (3x+30) find the value of x​

Answer 1

$\huge\star{\tt{\underline{\underline{\red{Answer}}}}}\star$

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( 2x- 8 ) and ( 3x - 7 ) are interior angles of the same side of the transversal .

we know that,

Sum of interior angles of same side of the transversal = 180°

$\implies$2x - 8 + 3x - 7 = 180

$\implies$5x - 15 = 180

$\implies$5x = 180 + 15

$\implies$5x = 195

= 195 / 5

$\large{\boxed{\boxed{x = 39}}}$

Therefore ,

$\implies$2x - 8 =( 2 × 39 ) -8

$\implies$78 - 8

$\implies$ 70°

$\implies$3x - 7 = ( 3 × 39 ) - 7

$\implies$ 117 - 7

$\implies$ $\large{\boxed{\boxed{110°}}}$

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Answer 2

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