Explain how the angle-angle-side congruence theorem is an extension of the angle-side-angle congruence theorem.

Answer:

The interior angle measures of a triangle add up to 180 degrees. Thus, if you are given angle-angle-side, you can solve for the third angle measure and essentially have angle-side-angle because the given side will now be the included side.

Explanation:

In congruent triangles, 2 angles and the enclosed side of another triangle are equivalent to the similar angles and side of some other triangle, the extension of angle-angle-side.

The Angle-Side-Angle defines that if 2 consecutive angles as with a non-included side of one triangle are appropriate to the related 2 consecutive angles and the non-included side of the other triangle, then the 2 triangles are congruent.

This congruent triangle is called as the angle-side-angle, and they form, the extension of angle-side-angle congruence theorem.

A triangle is measured by the inferior angle that add up to 180 degrees. Thus, in given angle-angle-side, solve for the 3rd angle measure and fundamentally have angle-side-angle, as the given side will now be the enclosed or included side.

Therefore, it is called as the extension of angle-side-angle congruence theorem.

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