Question

In the figure below, m angle WXZ = 80 and m angle 1 is three times m angle 2. Find m angle 2

Answer 1

m<2 = 20

Explanation:

XY divided angle WXZ into two angles represented by <1 and <2

<1 is three times <2 so if we let x represent <2 angle 1 would be represented with 3x

m<1 + m<2 = m<WXZ

3x + x = 80 add like terms

4x = 80 divide both sides by 4

x = 20

Answer 2

m<2 = 20

Explanation:

XY divided angle WXZ into two angles represented by <1 and <2

Now, <1 is three times <2 so if we let x represent <2 angle 1 would be represented with 3x

m<1 + m<2 = m<WXZ

3x + x = 80 add like terms

4x = 80 divide both sides by 4

x = 20 so the measure of angle 2 is 20