Find the value of x in each case Please ASAP

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Respuesta :

mallikabatra mallikabatra · Answer 1 · 2020-07-15T17:50:12+02:00

Answer:

1. x = 20

2. x = 45

Step-by-step explanation:

First Picture:

Because of vertical angles theorem, ECD is congruent to ACB making ACH 2x

Since a triangle adds up to 180 we can use the equation 2x + 2x + 100 = 180

From this, you will get x = 20

Second Picture:

Because we know that the lines are parallel you can use alternate interior angles theorem and make RST x too

Like the other problem, we can use an equation

In this case it is x + 2x + x = 180

You should get x = 45

09pqr4sT 09pqr4sT · Answer 2 · 2020-07-29T17:53:54+02:00

Answer:

[tex]\boxed{\mathrm{view \: explanation}}[/tex]

Step-by-step explanation:

First problem:

Vertically opposite angles are equal. The angle opposite of 3x is equal to 3x. Angle ACH becomes 2x because 2x + x = 3x.

Angles in triangle add up to 180 degrees.

2x + 2x + 100 = 180

4x = 80

[tex]\boxed{x = 20}[/tex]

Second problem:

Alternating angles are equal. Angle RST is x.

Angles in a triangle add up to 180 degrees.

2x + x + x = 180

4x = 180

[tex]\boxed{x=45}[/tex]

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