Answer:
m∠1=21°, m∠2=159°, m∠3=21°, m∠4=159°
Step-by-step explanation:
All of the angles added up = 360°
We know that angles 2 and 4 are the same, due to angle rules.
If all of the angles, added up, equal 360, and angles 2 and 4 are equal, we have an equation. Note: m∠2=159°
- 159+159+x+x=360 *x represents the measure of both angles 1 AND 3, since they are identical*
- 318+x+x=360
- 318+2x=360
- subtract 318 from BOTH sides
- 2x=42
- divide BOTH sides by 2
- x=21
- m∠x represents the measure for angle 1, along with the measure of angle 3.
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