3 years ago

Please answer now only have two minutes left do it fast

Mathematics

1 answer:

Deffense [45]3 years ago

7 0

Answer:

work is shown and pictured

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Step-by-step explanation:

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prove “if two angles of one triangle are congruent to two angles of a second triangle, the the third angles of the triangles are

arsen [322]

Assume that,

The two angles of one triangle are congruent to two angles of a second triangle.

To prove: The third angles of the triangles are congruent.

Since, two angles of one triangle are congruent to two angles of a second triangle.

Therefore,

$\begin{gathered} \angle C=\angle F \\ \angle A=\angle D \end{gathered}$

Adding these two we get,

$\begin{gathered} \angle C+\angle A=\angle F+\angle D \\ 180-\angle B=180-\angle E\text{ (Using angle sum property of a triangle)} \end{gathered}$

Cancelling 180 on both sides, we get

$\begin{gathered} \angle B=\angle E \\ \therefore\angle B\cong\angle E \end{gathered}$

Hence, if two angles of one triangle are congruent to two angles of a second triangle, the the third angles of the triangles are congruent.

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