Exercise 2 Page 537

Examining the figure, we see that 8x^(∘) and 96^(∘) are corresponding angles. Therefore, by the Corresponding Angles Theorem, we know that these angles are congruent. 8x=96 Let's solve this equation.

8 x = 96

DivEqn

.LHS /8.=.RHS /8.

x = 12

To find y, we use that 8x and (11y+19) are vertical angles. By the Vertical Angles Congruence Theorem, these angles are congruent. 8x=11y+19 We can solve this equation by substituting the value for x.

8x=11y+19

Substitute

x= 12

8* 12=11y+19

▼

Solve for y

Multiply

Multiply

96 = 11 y + 19

SubEqn

LHS-19=RHS-19

77 = 11 y

DivEqn

.LHS /11.=.RHS /11.

7 = y

RearrangeEqn

Rearrange equation

y = 7