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Irina18 [472]
3 years ago
5

Help !! what is the m<|1

Mathematics
2 answers:
sertanlavr [38]3 years ago
7 0

Answer:

the angle of 1 is 68 degrees

In-s [12.5K]3 years ago
7 0

Answer:

\boxed {\boxed {\sf m \angle 1 = 68 \textdegree}}

Step-by-step explanation:

The 3 interior angles of a triangle must add to 180 degrees.

  • m∠1 + m∠2 + m∠3 = 180°

We don't know the measure of angle 1. We can say the measure of angle 2 is 61° and the measure of angle 3 is 51°.

  • m∠1 + 61° + 51°= 180°

Add the numbers on the left side.

  • m∠1 + 112° = 180°

We want to isolate the measure of angle 1.

112 is being added, so we must perform the inverse operation of subtraction.

  • m∠1 +112°-112°= 180°-112°
  • m∠1= 180° - 112°
  • m∠1=68°

The measure of angle 1 is 68 degrees.

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