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qaws [65]
3 years ago
11

A triangle has the measures 23° & 48°, what is the 3rd angle?​

Mathematics
2 answers:
pochemuha3 years ago
6 0

Answer:

109 degrees

Step-by-step explanation:

A triangle has a total of 180 degrees in angles

Substituting the unknown as x, it will lead to the following:

23+48+x=180

71+x=180

x=109

Hope this helped!

Alina [70]3 years ago
5 0

Answer:

109

Step-by-step explanation:

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Answer:

See below.

Step-by-step explanation:

By definition the median of the triangle bisects the  base of the isosceles triangle.

We need to prove that the 2 triangles formed by the median are congruent.

If the 2 triangles are ABD  and ACD  where BD is the median and < ABC is the angle from which BD is drawn.

BD = BD  ( the common side)

AD = DC ( because BD is the median).

AB =  AC ( because ABC is  an isosceles triangle).

So Triangles ABD and ACD are congruent by SSS.

Therefore  m < ABD = m <  CBD,  so BD is the bisector of < ABC.

To prove BD is also the altitude:

Triangles ABD and CBD are congruent as we have just proven. Therefore the

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Therefore angles ABD and CBD are both  right angles and BD is the altitude of triangle ABC.

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Step-by-step explanation:

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Step-by-step explanation:

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