Find angle C in the diagram.

Mathematics

1 answer:

pishuonlain [190]2 years ago

5 0

Answer:

86°

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

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Help i can't figure this out. Can someone help explain how to do this

postnew [5]

Those two angles have to add up to 180° as that is a straight angle, so 5x - 10 + 6x + 10 = 180. combine like terms to get 11x - 10 + 10 = 180. the 10 cancels, so 11x = 180. divide both sides by 11 to get x = approximately 16.36.

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Which method would you use to prove that the two triangles are congruent?

Alona [7]

Answer:- AAS postulate

Explanation:-

AAS postulate tells that if two angles and a non-included side of a triangle to equal to the two angles and a non-included side of another triangle then the two triangles are said to be congruent.

Given:- One angle and one side of a triangle is equal to the one angle and one side of the other triangle.

We see there is one more pair of equal angles as they are vertically opposite angles . [See the attachment]

⇒ there is a triangle where two angles and a non-included side of a triangle to equal to the two angles and a non-included side of another triangle then the two triangles are said to be congruent.

⇒ The triangles are congruent [ by ASA postulate]