Question

2.) If ZA = (20 – 2m)º and ZD = (m – 130°, what is the value of m? ​

Answer 1

Answer:

The answer is 50°

Step-by-step explanation:

We know that any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.

So,

∠A = ∠D

∠A = (20 – 2m)°, ∠D = (m – 130)°

20 – 2m = m – 130

3m = 150

3m/3 = 150/3

m = 50°

Thus, The value of m is 50°

Answer 2

Answer:

m = 50

Step-by-step explanation:

∠ D and ∠ A are vertically opposite angles and are congruent , then

m - 130 = 20 - 2m ( add 2m to both sides )

3m - 130 = 20 ( add 130 to both sides )

3m = 150 ( divide both sides by 3 )

m = 50