Help me with a math question plz

Mathematics

1 answer:

Kruka [31]3 years ago

4 0

Answer:

x = 80

Step-by-step explanation:

Thank you for the clear diagram. We don't always get them.

Argument

There are two kinds of angles associated with a triangle

Interior angles
Exterior angles

You have both kinds in this question. The interior angles are the ones that make up the triangle itself. The ones you are concerned about are x and 38°.

The other kind is formed by extending one of the sides. In this question, the value of the exterior angle is 118°.

Rule

The two interior angles NOT connected to the given exterior angle are equal (when added) to the exterior angle.

In plain English what that means is

x + 38 = 118

Solution

x + 38 = 118 Subtract 38 from both sides.

x + 38 - 38 = 118 - 38

x = 80

So x = 80

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