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Find the missing angle. please help with these both. ​

Find the missing angle. please help with these both. ​-example-1
User AwfulHack
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1 Answer

6 votes

The measures of the missing angles are:

1) ? = 77°

2) ? = 68°

How to find the missing angles?

1) The small lines on the sides of the triangle means that these sides have the same length.

Because these two sides have the same length, and the two given angles are adjacent to these sides and the same common side, then the angles must have the same measure, from this we conclude that:

? = 77°

2) Again we have a triangle with two equal sides (and thus, two equal angles). ? is the repeated angle, now, remember that the sum of the interior angles of any triangle must be 180°, then we can write:

2*? + 44° = 180°

? = (180° - 44°)/2

? = 68°

These are the measures.