Question

Please answer this Question

Answer 1

Step-by-step explanation:

x=w (Corresponding angles)

Solve for a:

a + 10 = 90 - a

Add a to both sides:

a + a + 10 = (a - a) + 90

a - a = 0:

a + a + 10 = 90

a + a = 2 a:

2 a + 10 = 90

Subtract 10 from both sides:

2 a + (10 - 10) = 90 - 10

10 - 10 = 0:

2 a = 90 - 10

90 - 10 = 80:

2 a = 80

Divide both sides of 2 a = 80 by 2:

(2 a)/2 = 80/2

2/2 = 1:

a = 80/2

The gcd of 80 and 2 is 2, so 80/2 = (2×40)/(2×1) = 2/2×40 = 40:

a = 40

So angle x and w equals 50.

z=y Corresponding angles)

90- angle x or w Linear pair)

90-50=40

So, angle y and z equal to 40