Question

If m∠1 = 3x + 15, m∠2 = 4x - 5, and m∠3 = 5y, find the value of y. *

Answer 1

Step-by-step explanation:

m∠1 = 3x + 15, m∠2 = 4x - 5, and m∠3 = 5y , find the value of x and y. p q, so m∠1 = m∠2 because they are corresponding angles.

Answer 2

Answer:

Value of y is 15.

Step-by-step explanation:

m<1 and m<2 are corresponding angles and they are equal.

m<1 = m<2

$3x + 15 = 4x - 5$

Subtract 3x from each side,

$15 = x - 5$

Add 5 to each side,

$20 = x$

m<2 and m<3 are corresponding angles and they are equal.

$m<2 = m<3$

$4x - 5 = 5y$

Substitute x=20

$4(20) - 5 = 5y$

$80 - 5 = 5y$

$75 = 5y$

Divided each side by 5

Therefore

$x = 20 \: and \: y = 15$