Question

I need help on this, thanks

Answer 1

Measure of angle 1 = 159°
Measure of angle 2 = 21°
Measure of angle 3 = 159°
Measure of angle 4 = 21°

This is because of the reflexive property and that two angles that are next to each other equal 180°

Answer 2

m<1 = 159° m<2 = 21° m<4 = 21°

Explanation:

Since angle measure 3 was found, seeing that 3 and 1 are vertical angles (congruent) they equal the same, meaning angle measure 1 is also 159°. Also seeing that angle measure 3 and 2 are supplementary angles (2 or more angles that add up to 180°) subtracting 159° will give you 21°. Once again there are another set of verital angles, 2 and 4 making 4 also 21°