Question

line AB and line CD are cut by transversal RS. of tye measure od angle FEA is 6x+5 and the measure of angel DEF is x+20 ,find the value of x then find the. measure of angel FEA and angle DEF​

Answer 1

FEA, DEF = 23 degrees

Explanation:

Angles FEA and DEF are alternate interior angles. Alternate interior angles are congruent.

Therefore, FEA is congruent to DEF, and:

x + 20 = 6x + 5

Now, we solve this equation to find the value of x:x + 20 = 6x + 5

x + 20 = 6x + 5

20 = 5x + 5

15 = 5x

3 = x

Now, we know that the value of x is 3. We can plug this value into the equations to find the values of the angles.

x + 20

3 + 20

DEF = 23 degrees

6x + 5

6(3) + 5

18 + 5

FEA = 23 degrees.

In fact, you only need to find the measure of one of the angles, because you know that they are congruent.

Hope this helps :) Please feel free to ask me any questions!