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sashaice [31]
3 years ago
14

Solve for x solve for x solve for x

Mathematics
2 answers:
nalin [4]3 years ago
6 0

Answer:

x = 95

Step-by-step explanation:

goldenfox [79]3 years ago
5 0

Answer:

x = 95

Step-by-step explanation:

(2x - 60)° = (x + 35)° (corresponding angles are congruent)

2x - 60 = x + 35

2x - 60 - x = x + 35 - x

x - 60 = 35

x - 60 + 60 = 35 + 60

x = 95

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Criteria for the Congruency of two Triangles

If two triangles share the same sides and angles, they are said to be congruent triangles.

Triangles are tested for congruence using the following 4 criteria:

1) Angle-side-angle(ASA): Two angles and a side of a triangle are congruent if they are equal to two angles and the corresponding side of another triangle.

2) Side-side-side(SSS): Two triangles make congruent triangles if all three sides of one triangle are equal to three sides of another.

3) Side angle side(SAS): A triangle is congruent if its two sides and any included angles are equivalent to those of another triangle's two sides and corresponding angle.

4) Hypotenuse - leg(HL): If a triangle's hypotenuse and one of its legs are equal, then the triangle's hypotenuse and leg are also equal.

Checking for Congruency in the Given Triangles

ΔDEF and ABC have a equal angles, ∠F=∠B, as well as a pair of equal sides,  DF = AC.

Thus, in order to satisfy the SAS criterion of congruent triangles, AB = DE

Learn more about Congruent Triangles here:

brainly.com/question/22062407

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3 0
1 year ago
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