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angle sum theorem ??

Angle Sum Theorem class=

Sagot :

chetankachana

Answer:

x = 30°

Step-by-step explanation:

Hello!

The sum of angles in a triangle is 180°. Please, please, remember this, as it will help you along the road in geometry, and is one of the basic rules in triangle theorems.

Assuming that the altitude of the triangle and the bottom ray is perpendicular, the angle next to the 60° angle is 90° or a right angle.

So, taking the left triangle (as both triangles are the same):

  • 60° + 90° + x° = 180°
  • x° = 30°

The value of x is 30°

This can be confirmed by looking at the big triangle, with the base angles of 60°.

Using the same angle rule:

  • 60° + 60° + x° + x° = 180°
  • 2x° = 60°
  • x° = 30°

The value of x is 30°

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