118k views
17 votes
two interior angles of a triangle each measure 34degrees what is the measure of the third interior angle

User Amalie
by
4.0k points

2 Answers

4 votes

Other angle be y

Apply angle sum property


\\ \rm\hookrightarrow 34+34+y=180


\\ \rm\hookrightarrow 2(34)+y=180


\\ \rm\hookrightarrow 68+y=180


\\ \rm\hookrightarrow y=112

User Ergelo
by
4.4k points
6 votes

Answer:

112°

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°

User Philihp Busby
by
3.9k points