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two interior angles of a triangle each measure 34degrees what is the measure of the third interior angle

Respuesta :

semsee45

Answer:

112°

Step-by-step explanation:

The sum of the interior angles of a triangle is 180°

Let x = unknown angle

⇒ 34 + 34 + x = 180

⇒ 68 + x = 180

⇒ x = 180 - 68

⇒ x = 112°

Other angle be y

Apply angle sum property

[tex]\\ \rm\hookrightarrow 34+34+y=180[/tex]

[tex]\\ \rm\hookrightarrow 2(34)+y=180[/tex]

[tex]\\ \rm\hookrightarrow 68+y=180[/tex]

[tex]\\ \rm\hookrightarrow y=112[/tex]

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