Question

In the sketch below, two parallel lines are cut by a transversal.

Answer 1

Answer:

m<1 = 150°

Step-by-step explanation:

Given:

m<1 = (4x + 50)°

m<2 = (7x - 25)°

Required:

m<1

Solution:

To find m<1, we need to create an equation that will enable us determine the value of x.

Thus,

4x + 50 = 7x - 25 => corresponding angles are congruent to each other

4x + 50 - 7x = 7x - 25 - 7x (subtraction property of equality)

-3x + 50 = - 25

-3x + 50 - 50 = -25 - 50 (substraction property of equality)

-3x = -75

-3x/-3 = -75/-3 (division property of equality)

x = 25

✅m<1 = (4x + 50)°

Plug in the value of x

m<1 = 4*25 + 50 = 100 + 50

m<1 = 150°