Respuesta :

evanc7515

Answer:

84°

Step-by-step explanation:

There are two properties we need to understand to solve this:

1. The angles of a triangle always add up to 180°

2. The angles along a straight line must add up to 180°

Let's solve!

Notice that the bottom angle is 134°, but we want to know the other angle. Since they add up to 180°` (because this is a straight line) we will subtract 134 from 180, to get an answer of 46°.

To solve the next angle we will do the same process:

180 - 130 = 50

50°

Now that we have two angles of the triangle, we can solve for x. Remember that the three angles of the triangle add to 180°.

Adding the two angles together:

50 + 46 = 96

And subtracting them from 180:

180 - 96 = 84

The value of x is 84°

I'm always happy to help :)

The value of x is 96. This is because the given angles in the figure are exterior angles for the triangle formed. The sum of exterior angles of a triangle gives 360°.

How the angles of a triangle are related?

A triangle has three interior angles as well as three exterior angles if it is formed by the intersection of rays.

So,

The sum of the three interior angles of a triangle = 180°

The sum of three exterior angles of a triangle = 360°

Calculation:

The given triangle formed by the rays has three angles with measures 130°, 134°, and x°.

All three of these angles are exterior to the triangle formed

So, the sum of these three angles = 360°

⇒ 130° + 134° + x° = 360°

⇒ 264° + x° = 360°

⇒ x° = 360° - 264°

∴ x° = 96°

Thus, the value of x is 96°.

Learn more about the angles of a triangle here:

https://brainly.com/question/2005039

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