Question

Use the diagram to find the measures of all the angles, given that m∠2=159∘.

Answer 1

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°

1. 159+159+x+x=360  *x represents the measure of both angles 1 AND 3, since they are identical*
2. 318+x+x=360
3. 318+2x=360
4. subtract 318 from BOTH sides
5. 2x=42
6. divide BOTH sides by 2
7. x=21
8. m∠x represents the measure for angle 1, along with the measure of angle 3.

HOPE THIS HELPED! Brainliest??