Question

Pls solve this for me

Answer 1

y = 15

x = 82

Explanation:

angles across each other always have the same value, and that's why:

y = (x - 67)

and

x = (5y + 7)

(we put the value of the angles across of x and y into their own.)

Let's solve for y first.

y = (5y + 7 - 67)

y = (5y - 60)

y - 5y = -60

4y = -60

(divide)

y = 15

that means that y = 15 , and we can start solving for x.

x = (5*15 + 7)

x = (75 + 7)

x = (82)

and that should mean that x = 82.

Answer 2

x=82° and y=15°

Step-by-step explanation:

(i) y=x-67

(ii) x=5y+7

Substitute equation (ii) into (i):

y=5y+7-67

y=5y-60

y-5y=-60

-4y=-60

y=15°

Substitute y into equation (ii):

x=5×15+7

x=75+7

x=82°