Question

In the figure, mz2 = 55° and m24 = 85°. Find the measures of 21 and 23.

m21 =
m23 =
1
4
3
2

Answer 1

Using the measures given, we can calculate the measures of angles 21 and 23 as follows:

Let z = the measure of angle 21

Let x = the measure of angle 23

We can use the following equations to calculate the measures of angles 21 and 23:

z + x = 180° (angle sum of a triangle)

z = 180° - x (substituting mz2 = 55°)

x = 180° - 55° (substituting m24 = 85°)

Therefore,

z = 180° - 85° = 95°

x = 180° - 55° = 125°

So, the measure of angle 21 = 95° and the measure of angle 23 = 125°.