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alexira [117]
3 years ago
14

Two angles of a triangle have the same measure and the third one is 48 degrees greater than the measure

Mathematics
1 answer:
liq [111]3 years ago
4 0

9514 1404 393

Answer:

  92°

Step-by-step explanation:

If the third angle is 48° larger than either of the other two congruent angles, then the angle total in the triangle will be ...

  x +(x -48) +(x -48) = 180 . . . . . where x is the largest angle

  3x -96 = 180 . . . . . . collect terms

  x -32 = 60 . . . . . . divide by 3

  x = 92 . . . . . . . . add 32

The largest angle in the triangle is 92°.

_____

The other two angles are 44° each.

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Answer:


Step-by-step explanation:

The measure of angle one is 115 degrees because the angle with 115 degrees and angle one are alternate interior angles and alternate interior angles are congruent.

The measure of angle two is also 115 degrees because angle one and angle two are vertical angles and vertical angles are congruent.

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